Affiliation
Graduate School of Science and Technology Research Division
SAKAKI Makoto
Degree
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理学博士
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理学修士
Campus Career
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Hirosaki University Graduate School of Science and Technology Professor
2007.04 ～ Now
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Hirosaki University Faculty of Science and Technology Professor
2003.04 ～ 200703
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Hirosaki University Faculty of Science and Technology Associate Professor (as old post name)
1998.06 ～ 200303
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Hirosaki University Faculty of Science and Technology Research Assistant
1997.10 ～ 199805
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Hirosaki University Abolition organization Research Assistant
1990.04 ～ 199709
Research Interests
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Geometry
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微分幾何学
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Differential Geometry
Research Areas
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Natural Science / Geometry
Professional Memberships
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日本数学会
Papers
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Rotational surfaces in a 3-dimensional normed space
Makoto Sakaki
Beitr. Algebra Geom. 65 ( 1 ) 23 - 41 2024.3
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On generalized helicoidal minimal surfaces in Minkowski 5-space
Makoto Sakaki, Ali Ucum
Serdica Math. J. 47 291 - 304 2021.12
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Generalized helicoidal surfaces in Euclidean 5-space
Ali Ucum, Makoto Sakaki
An. Stiint. Univ. Ovidius Constanta Ser. Mat. 29 ( 3 ) 269 - 283 2021.12
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Differential geometry of spatial curves for gauges
Vitor Balestro, Horst Martini, Makoto Sakaki
Sao Paulo J. Math. Sci. 14 ( 2 ) 496 - 509 2020.12
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Generalized helicoidal surfaces in Minkowski 5-space
Ali Ucum, Makoto Sakaki
Serdica Math. J. 46 287 - 306 2020.12
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Curvature types of planar curves for gauges
Vitor Balestro, Horst Martini, Makoto Sakaki
J. Geom. 111 ( 1 ) 2020.4
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Bi-null curves with constant curvatures in R^5_2
Ali Ucum, Makoto Sakaki, Kazim Ilarslan
J. Geom. 110 ( 1 ) 2019.4
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A representation formula for non-conformal harmonic surfaces in R^3
Bart Dioos, Makoto Sakaki
Results Math. 74 ( 1 ) 2019.3
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k-type bi-null Cartan slant helices in R^6_3
Ali Ucum, Kazim Ilarslan, Makoto Sakaki
Southeast Asian Bull. Math. 42 ( 6 ) 937 - 946 2018.12
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Lorentzian stationary surfaces and null curves in 4-dimensional space forms of index 2
Makoto SAKAKI
An. Stiint. Univ. Al. I. Cuza Iasi. Mat. 64 ( 1 ) 187 - 197 2018.10
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On osculating, normal and rectifying bi-null curves in R^5_2
Kazim Ilarslan, Makoto Sakaki, Ali Ucum
Novi Sad J. Math. 48 ( 1 ) 9 - 20 2018.9
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Ruled surfaces with bi-null curves in R^5_2
Makoto Sakaki, Ali Acum, Kazim Ilarslan
Rend. Circ. Mat. Palermo 66 ( 3 ) 485 - 493 2017.12
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Transforms for non-conformal harmonic surfaces in R^3
Makoto SAKAKI
Results Math. 72 ( 4 ) 1807 - 1811 2017.12
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k-type bi-null slant helices in R^5_2
Ali Ucum, Kazim Ilarslan, Makoto Sakaki
J. Geom. 108 ( 3 ) 913 - 924 2017.11
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Transforms for minimal surfaces in 5-dimensional space forms
Makoto SAKAKI
Publ. Inst. Math. (Beograd) 102 241 - 246 2017.11
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Lorentzian stationary surfaces and bi-null curves in R^5_2
Ali Ucum, Makoto Sakaki, Kazim Ilarslan
Int. J. Geom. Methods Mod. Phys. 14 ( 10 ) 2017.8
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On osuculating, normal and rectifying bi-null curves in R^6_3
Ali Ucum, Makoto Sakaki, Kazim Ilarslan
J. Dyn. Sys. Geom. Theory 15 ( 1 ) 1 - 13 2017.6
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On bi-null Cartan curves in semi-Euclidean 6-space with index 3
Ali Ucum, Makoto Sakaki, Kazim Ilarslan
J. Geom. 107 ( 3 ) 719 - 728 2016.10
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On (1,3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
Ali Ucum, Kazim Ilarslan, Makoto Sakaki
J. Geom. 107 ( 3 ) 579 - 591 2016.10
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On the curvature ellipse of minimal surfaces in N^3(c)xR
Makoto SAKAKI
Bull. Belgian Math. Soc. Simon Stevin 22 ( 1 ) 165 - 172 2015.3
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Four classes of surfaces with constant mean curvature in S^3xR and H^3xR
Makoto SAKAKI
Results Math. 66 ( 3-4 ) 343 - 362 2014.11
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Lorentzian stationary surfaces and null curves in R^4_2
Makoto SAKAKI
J. Geom. 105 ( 2 ) 359 - 368 2014.8
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Bi-null Cartan curves in semi-Euclidean spaces of index 2
Makoto SAKAKI
Beitr. Algebra Geom. 53 ( 2 ) 421 - 436 2012.9
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Lorentzian stationary surfaces in 4-dimensional space forms of index 2
Makoto SAKAKI
Tsukuba J. Math. 35 ( 2 ) 215 - 229 2011.12
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Notes on null curves in Minkowski spaces
Makoto SAKAKI
Turkish J. Math. 34 ( 3 ) 417 - 424 2010.9
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On the definition of minimal lightlike submanifolds
Makoto SAKAKI
Int. Electron. J. Geom. 3 ( 1 ) 16 - 23 2010.4
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Null Cartan curves in R^4_2
Makoto SAKAKI
Toyama Math. J. 32 31 - 39 2010.3
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Minimal lightlike Monge hypersurfaces in semi-Euclidean spaces
Makoto SAKAKI
Int. J. Pure. Appl. Math. 54 ( 4 ) 543 - 549 2009.8
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Minimal lightlike hypersurfaces in R^4_2 with integrable screen distribution
Makoto SAKAKI
Balkan J. Geom. Appl. 14 ( 1 ) 84 - 90 2009.8
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Minimal lightlike hypersurfaces in Lorentzian space forms
Makoto SAKAKI
Int. J. Pure Appl. Math. 48 ( 4 ) 595 - 600 2008.12
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Two classes of Lorentzian stationary surfaces in semi-Riemannian space forms
SAKAKI Makoto
Nihonkai Math. J. 15 ( 1 ) 15 - 22 2004
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TWO CLASSES OF SPACELIKE STATIONARY SURFACES IN SEMI-RIEMANNIAN SPACE FORMS
SAKAKI Makoto
Kyushu Journal of Mathematics 57 ( 1 ) 159 - 164 2003
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Spacelike Maximal Surfaces in 4-dimensional Space Forms of Index 2
Makoto Sakaki
Tokyo Journal of Mathematics 25 ( 2 ) 295 - 306 2002
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Spacelike minimal surfaces in 4-dimensional Lorentzian space forms
SAKAKI Makoto
Tsukuba J. Math. 25 ( 2 ) 239 - 246 2001
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Hamiltonian stationary normal bundles of surfaces in R-3
M Sakaki
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 127 ( 5 ) 1509 - 1515 1999.5
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Hamiltonian stationary normal bundles (Geometry of homogeneous spaces and submanifolds)
Sakaki Makoto
1044 49 - 52 1998.4
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On minimal surfaces with constant Kähler angle in CP^3 and CP^4
SAKAKI Makoto
Tsukuba J. Math. 20 ( 1 ) 33 - 44 1996
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RIGIDITY OF SUPERCONFORMAL MINIMAL-SURFACES LYING FULLY IN ODD-DIMENSIONAL UNIT SPHERES
M SAKAKI
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 117 ( 2 ) 251 - 257 1995.3
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On minimal surfaces in space forms whose Gauss images have constant curvature
SAKAKI Makoto
Chinese Quart. J. Math. 10 ( 4 ) 74 - 77 1995
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Riemannian structures and the codimension of exceptional minimal surfaces in H^n and R^n
Sakaki Makoto
Kodai Mathematical Journal 18 ( 3 ) 475 - 480 1995
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MINIMAL 2-TORI IN S(4) WHOSE GAUSS IMAGES HAVE CONSTANT CURVATURE
M SAKAKI
ARCHIV DER MATHEMATIK 62 ( 5 ) 470 - 474 1994.5
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Minimal surfaces with the Ricci condition in 4-dimensional space forms
Makoto SAKAKI
Proc. Amer. Math. Soc. 121 ( 2 ) 573 - 577 1994
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On minimal surfaces with the Ricci condition in space forms
Sakaki Makoto
Kodai Mathematical Journal 17 ( 3 ) 452 - 455 1994
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Exceptional minimal surfaces whose gauss images have constant curvature
Makoto Sakaki
Tokyo Journal of Mathematics 15 ( 2 ) 381 - 388 1992
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Exceptional minimal surfaces with the Ricci condition
SAKAKI Makoto
Tsukuba J. Math. 16 ( 1 ) 161 - 167 1992
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STABILITY OF SURFACES WITH CONSTANT MEAN-CURVATURE IN 3-DIMENSIONAL RIEMANNIAN-MANIFOLDS
M SAKAKI
OSAKA JOURNAL OF MATHEMATICS 27 ( 4 ) 893 - 898 1990.12
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UPPER-BOUNDS FOR THE INDEX OF MINIMAL-SURFACES
M SAKAKI
TOHOKU MATHEMATICAL JOURNAL 42 ( 3 ) 339 - 349 1990.9
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ESTIMATES ON THE STABILITY OF MINIMAL-SURFACES AND HARMONIC MAPS
M SAKAKI
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 41 ( 4 ) 641 - 650 1989.10
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REMARKS ON THE RIGIDITY AND STABILITY OF MINIMAL SUBMANIFOLDS
M SAKAKI
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 106 ( 3 ) 793 - 795 1989.7
Books
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Introduction to Calculus
Makoto SAKAKI（ Role： Sole author）
Gakujutsu-Tosho 1998.4
Review Papers
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Review for "F. G. S. Carvalho, B. P. Lima, P. A. Sousa and B. V. M. Vieira, Lower estimates for the length of the second fundamental form of submanifolds, Diff. Geom. Appl. 98 (2025), Paper No. 102216, 18 pp."
Makoto Sakaki
Math. Reviews 2025.6
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Review for "S. M. Jung and Y. H. Kim, Marginally trapped ruled surfaces and their Gauss map in Minkowski space, Taiwanese J. Math. 28 (2024), 1007-1025"
Makoto Sakaki
Math. Reviews 2025.4
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Review for "S. Markvorsen and M. Raffaelli, Planar pseudo-geodesics and totally umbilic submanifolds, J. Geom. Anal. 34 (2024), Paper No. 53, 16 pp."
Makoto Sakaki
Math. Reviews 2025.2
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Review for "F. Dmitry, et al, Differential geometry of space curves: forgotten chapters, Math. Intell. 46 (2024), 9-21"
Makoto Sakaki
Math. Reviews 2024.12
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Review for "J. Melendez, Remarks on hypersurfaces in a unit sphere, Bull. Malays. Math. Sci. Soc. 46 (2023), Paper No. 168, 18 pp."
Makoto Sakaki
Math. Reviews 2024.3
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Review for "T. Sasahara, Special slant surfaces with non-constant mean curvature in 2-dimensional complex space forms, Results Math. 77 (2022), Paper No. 180, 12pp."
Makoto Sakaki
Math. Reviews 2023.12
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Review for "A. Meira, Cut loci and closed submanifolds of negatively curved manifolds, Arch. Math. 120 (2023). 111-113"
Makoto Sakaki
Math. Reviews 2023.9
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Review for "Y. Liu and Y. Dai, Rotational hypersurfaces with constant Gauss-Kronecker curvature, Chinese Ann. Math. Ser. B 43 (2022), 343-358"
Makoto Sakaki
Math. Reviews 2023.5
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Review for "S. Kaya and R. Lopez, Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space, Tohoku Math. J. 74 (2022), 263-286"
Makoto Sakaki
Math. Reviews 2023.2
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Review for "F. Qu and X. Wei, Limit behavior of constant distance boundaries of Jordan curves, AIMS Math. 7 (2022), 11311-11319"
Makoto Sakaki
Math. Reviews 2022.9
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Review for "J. Fang and L. Liang, The tension field of the conformal Gauss map, Colloq. Math. 167 (2022), 207-218"
Makoto Sakaki
Math. Reviews 2022.6
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Review for "A. Zafer and S. Joydeep, Differential geometric aspects of lightlike f-rectifying curves in Minkowski space-time, Differ. Geom. Dyn. Syst. 22 (2020), 113-129."
Makoto Sakaki
Math. Reviews 2021.6
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Review for "I. I. Onnis, A. P. Passamani and P. Piu, Constant angle surfaces in Lorentzian Berger spheres, J. Geom. Anal. 29 (2019), 1456-1478."
Makoto SAKAKI
Math. Reviews 2019.9
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Review for "S. Kaya and R. Lopez, The Bjorling problem and Weierstrass-Enneper representation of maximal surfaces in Lorentz-Minkowski space, Diff. Geom. in Lorentz-Minkowski space, 43-49, Granada, 2017"
Makoto SAKAKI
Math. Reviews 2018.10
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Review for "L. C. B. da Silva, Moving frames and the characterization of curves that lies on a surface, J. Geom. 108 (2017), 1091-1113"
Makoto SAKAKI
Math. Reviews 2018.4
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Review for "Y. Han, The topological structure of complete noncompact submanifolds in soheres, J. Math. Anal. Appl. 457 (2018), 991-1006"
Makoto SAKAKI
Math. Reviews 2018.3
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Review for "B.-Y. Chen, Rectifying submanifolds of Riemanian manifolds and torqued vector fields, Kragujevac J. Math. 41 (2017), 93-103"
Makoto SAKAKI
Math. Reviews 2017.11
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Review for "R. M. B. Chaves, B. C. Valerio and J. A. M. Velhena, Ricci-Curbastro condition for maximal surfaces in the Lorentz-Minkowski space, Results Math. 71 (2017), 1373-1388"
Makoto SAKAKI
Math. Reviews 2017.9
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Review for "J. Melendez and O. Palmas, Hypersyufaces with constant higher order mean curvature in space forms, Diffe. Geom. Appl. 51 (2017), 15-32"
Makoto SAKAKI
Math. Reviews 2017.8
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Review for "G. Catino, A remark on compact hypersurfaces with constant mean curvature in space forms, Bull. Sci. Math. 140 (2016), 901-907"
Makoto SAKAKI
Math. Reviews 2017.4
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Review for "R. S. Gupta, Null 2-type hypersurfaces in Euclidean 6-space, Boll. Unione Mat. Ital. 9 (2016), 363-373"
Makoto SAKAKI
Math. Reviews 2017.2
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Review for "J. Sun, Singularity analysis of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces, J. Nonlinear Sci. Appl. 9 (2016), 2577-2589"
Makoto SAKAKI
Math. Reviews 2016.8
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Review for "S. Fujimori, et al., Erratum to the article "Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line, Osaka J. Math. 53 (2016), 289-292"
Makoto SAKAKI
Math. Reviews 2016.8
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Review for "L. Chen and M. Takahashi, Dualities and evolutes of fronts in hyperbolic and de Sitter space, J. Math. Anal. Appl. 437 (2016), 133-159"
Makoto SAKAKI
Math. Reviews 2016.6
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Review for "M. Dajczer and T. Vlachos, Isometric deformations of isotropic surfaces, Arch. Math. 106 (2016), 189-200"
Makoto SAKAKI
Math. Reviews 2016.6
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Review for "M. Dajczer and T. Vlachos, A class of superconformal surfaces, Ann. Mat. Pure Appl. 194 (2015), 1607-1618"
Makoto SAKAKI
Math. Reviews 2016.4
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Review for "O. M. Perdomo and G. Wei, n-dimensional area of minimal rotational hypersurfaces in shperes, Nonlinear Analysis 125 (2015), 241-250"
Makoto SAKAKI
Math. Reviews 2015.11
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Review for "M. Dajczer and T. Vlachos, The dual superconformal surfaces, Ann. Global Anal. Geom. 48 (2015), 1-22"
Makoto SAKAKI
Math. Reviews 2015.9
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Review for "S. Fujimori, Y. W. Kim, S.-E. Koh, W. Rossman, H. Shin, M. Umehara, K. Yamada and S.-D. Yang, Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line, Osaka. J. Math. 52 (2015), 285-297"
Makoto SAKAKI
Math. Reviews 2015.7
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Review for "J. Qian and Y. H. Kim, Directional associated curves of a null curve in Minkowski 3-space, Bull. Korean Math. Soc. 52 (2015), 183-200"
Makoto SAKAKI
Math. Reviews 2015.5
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Review for "S. Cengiz and A. Gorgulu, 2-symmetric lightlike hypersurfaces in semi-Riemannian space forms, Int. J. Geom. Methods Mod. Phys. 11 (2014), no.10, 1450089, 13pp"
Makoto SAKAKI
Math. Reviews 2015.3
-
Review for "S. Montaldo and I. I. Onnis, Helix surfaces in the Berger sphere, Israel J. Math. 201 (2014), 949-966"
Makoto SAKAKI
Math. Reviews 2015.1
-
Review for "F. Torralbo and F. Urbano, On stable compact minimal submanifolds, Proc. Amer. Math. Soc. 142 (2014), 651-658"
Makoto SAKAKI
Math. Reviews 2014.11
-
Review for "Y. Luo, Weakly convex biharmonic hypersurfaces in nonpositive curvature space forms are minimal, Results Math. 65 (2014), 49-56"
Makoto SAKAKI
Math. Reviews 2014.7
-
Review for "Y. Unluturk and E. Ozusaglam, On parallel surfaces in Minkowski 3-space, TWMS J. Appl. Eng. Math. 3 (2013), 214-222"
Makoto SAKAKI
Math. Reviews 2014.7
-
Review for "F. Urbano, Second variation of one-sided complete minimal surfaces, Rev. Mat. Iberoam. 29 (2013), 479-494"
Makoto SAKAKI
Math. Reviews 2013.9
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Review for "J. Inoguchi, R. Lopez and M.-I. Munteanu, Minimal translation surfaces in the Heisenberg group Nil_3, Geom. Dedicata 161 (2012), 221-231"
Makoto SAKAKI
Math. Reviews 2013.6
-
Review for "J. Inoguchi, Discrete differential geometry of surfaces, RIMS Kokyuroku Bessatsu, B30 (2012), 77-99"
Makoto SAKAKI
Math. Reviews 2013.4
-
Review for "M. Antic, J. Bolton and L. Vrancken, Minimal surfaces with reflectional symmetric sequences, Bull. Transilv. Univ. Brasov Ser. III 1(50) (2008), 15-24"
Makoto SAKAKI
Math. Reviews 2009j ( 53073 ) 2009.8
-
Review for "A. Peterson and S. Taylor, Locally isometric families of minimal surfaces, Balkan J. Geom. Appl. 13 (2008), 80-85"
Makoto SAKAKI
Math. Reviews 2009a ( 53014 ) 2009.1
-
Review for "J. Inoguchi, Minimal surfaces in the 3-dimesional Heisenberg group, Differ. Geom. Dyn. Syst. 10 (2008), 163-169"
Makoto SAKAKI
Math. Reviews 2009a ( 53009 ) 2009.1
-
Review for "J. Inoguchi and S. Lee, A Weierstrass type representatopn for minmal surfaces in Sol, Proc. Amer. Math. Soc. 136 (2008), 2209-2216"
Makoto SAKAKI
Math. Reviews 2008k ( 53016 ) 2008.11
-
Review for "J. Inoguchi, Minimal surfaces in 3-dimensional solvable Lie groups. II, Bull. Austral. Math. Soc. 73 (2006), 365-374"
Makoto SAKAKI
Math. Reviews 2007a ( 53008 ) 2007.1
-
Review for "Y. W. Kim, Drawing a surface in L^3, Proc.the Ninth International Workshop on Diff. Geom., Kyungpook Nat. Univ., Taegu, 2005, 109--116"
Makoto SAKAKI
Math. Reviews 2005m ( 53009 ) 2005.12
-
A note on the optimality of Riemannian cubic polynomials
IKUTA Koya, SAKAKI Makoto
Bull. Fac. Sci. Tech. Hirosaki Univ. 7 ( 1 ) 15 - 19 2004
-
Review for "T. Vlachos, Congruence of minimal surfaces and higher fundamental forms, Manuscripta Math. 110 (2003), 77-91"
Makoto SAKAKI
Math. Reviews 2003k ( 49080 ) 2003.11
-
A note on minimal surfaces in R n whose Gauss images have constant curvature
SAKAKI Makoto
Bull. Fac. Sci. Tech. Hirosaki Univ. 3 ( 2 ) 79 - 82 2001
-
Isometric deformations of spacelike stationary surfaces preserving normal curvature in 4 -dimensional Lorentzian space forms
SAKAKI Makoto
Bull. Fac. Sci. Tech. Hirosaki Univ. 4 ( 1 ) 7 - 10 2001
-
On the deformability of holomorphic curves among minimal surfaces
Makoto SAKAKI
Bulletin of the Faculty of Science and Technology, Hirosaki University 2 ( 1 ) 7 - 12 1999
Social Activities
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楽しい科学・サイエンスへの招待
2024.10.20
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楽しい科学・サイエンスへの招待
2023.10.22
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全国算数・数学教育研究大会
2023.08.07 ～ 2023.08.10
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楽しい科学・サイエンスへの招待
2022.10.23
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青森県高等学校教育研究会・数学部会
2022.08.17
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青森県高等学校理数系課題研究発表会
2019.12
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東北地区算数・数学教育研究大会
2019.11
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Wing進学相談会・札幌北会場
2019.11
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SSH課題研究・研究室訪問（弘前南高校）
2019.08 ～ 2019.12
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教員免許更新講習
2019.08
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楽しい科学・サイエンスへの招待
2018.10
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青森県高等学校教育研究会数学部会
2018.08
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2018.07
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2017.12
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2017.10
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青森県高等学校教育研究会数学部会
2017.08
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2017.07
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2016.10
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青森県高等学校教育研究会数学部会
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南陵サイエンスセミナー（弘前南高校）
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青森県高等学校教育研究会数学部会
2015.08
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教員免許状更新講習
2015.07
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青森県高等学校教育研究会数学部会
2014.08
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青森サイエンスキャンプ（八戸北高校）
2013.09
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弘前大学ドリーム講座
2013.08
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2013.08
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第13回青森県高等学校理数系課題研究発表会
2012.12
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青森県高等学校教育研究会数学部会
2012.08
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サイエンス体験ツアー
2011.08
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楽しい科学・サイエンスへの招待
2010.10
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第10回青森県高等学校理数科課題研究発表会
2009.12
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弘前大学ドリーム講座
2009.10
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楽しい科学・サイエンスへの招待
2009.10
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弘前大学公開講座「夏休みの数学2009」
2009.08
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2009.07
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SSH講義
2009.02
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第９回青森県高等学校理数科課題研究発表会
2008.12
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楽しい科学・サイエンスへの招待
2008.10
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2008.08
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ドリーム講座
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弘前大学公開講座「夏休みの数学2007」
2007.08