論文 - 榊 真
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Rotational surfaces in a 3-dimensional normed space
Makoto Sakaki
Beitr. Algebra Geom. 65 ( 1 ) 23 - 41 2024年03月
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On generalized helicoidal minimal surfaces in Minkowski 5-space
Makoto Sakaki, Ali Ucum
Serdica Math. J. 47 291 - 304 2021年12月
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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年12月
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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年12月
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Generalized helicoidal surfaces in Minkowski 5-space
Ali Ucum, Makoto Sakaki
Serdica Math. J. 46 287 - 306 2020年12月
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Curvature types of planar curves for gauges
Vitor Balestro, Horst Martini, Makoto Sakaki
J. Geom. 111 ( 1 ) 2020年04月
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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年04月
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A representation formula for non-conformal harmonic surfaces in R^3
Bart Dioos, Makoto Sakaki
Results Math. 74 ( 1 ) 2019年03月
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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年12月
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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年10月
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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年09月
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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年12月
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Transforms for non-conformal harmonic surfaces in R^3
Makoto SAKAKI
Results Math. 72 ( 4 ) 1807 - 1811 2017年12月
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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年11月
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Transforms for minimal surfaces in 5-dimensional space forms
Makoto SAKAKI
Publ. Inst. Math. (Beograd) 102 241 - 246 2017年11月
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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年08月
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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年06月
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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年10月
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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年10月
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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年03月
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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年11月
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Lorentzian stationary surfaces and null curves in R^4_2
Makoto SAKAKI
J. Geom. 105 ( 2 ) 359 - 368 2014年08月
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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年09月
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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年12月
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Notes on null curves in Minkowski spaces
Makoto SAKAKI
Turkish J. Math. 34 ( 3 ) 417 - 424 2010年09月
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On the definition of minimal lightlike submanifolds
Makoto SAKAKI
Int. Electron. J. Geom. 3 ( 1 ) 16 - 23 2010年04月
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Null Cartan curves in R^4_2
Makoto SAKAKI
Toyama Math. J. 32 31 - 39 2010年03月
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Minimal lightlike Monge hypersurfaces in semi-Euclidean spaces
Makoto SAKAKI
Int. J. Pure. Appl. Math. 54 ( 4 ) 543 - 549 2009年08月
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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年08月
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Minimal lightlike hypersurfaces in Lorentzian space forms
Makoto SAKAKI
Int. J. Pure Appl. Math. 48 ( 4 ) 595 - 600 2008年12月
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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年
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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年
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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年
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Spacelike minimal surfaces in 4-dimensional Lorentzian space forms
SAKAKI Makoto
Tsukuba J. Math. 25 ( 2 ) 239 - 246 2001年
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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年05月
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Hamiltonian stationary normal bundles (Geometry of homogeneous spaces and submanifolds)
Sakaki Makoto
1044 49 - 52 1998年04月
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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年
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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年03月
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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年
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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年
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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年05月
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On minimal surfaces with the Ricci condition in space forms
Sakaki Makoto
Kodai Mathematical Journal 17 ( 3 ) 452 - 455 1994年
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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年
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Exceptional minimal surfaces with the Ricci condition
SAKAKI Makoto
Tsukuba J. Math. 16 ( 1 ) 161 - 167 1992年
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Exceptional minimal surfaces whose gauss images have constant curvature
Makoto Sakaki
Tokyo Journal of Mathematics 15 ( 2 ) 381 - 388 1992年
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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年12月
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UPPER-BOUNDS FOR THE INDEX OF MINIMAL-SURFACES
M SAKAKI
TOHOKU MATHEMATICAL JOURNAL 42 ( 3 ) 339 - 349 1990年09月
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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年10月
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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年07月