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梅原雅顕 研究業績一覧 (61件)
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論文
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Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
Deformations of cuspidal edges in a 3-dimensional space form,
Kodai Math. J.,
Vol. 44,
Mar. 2024.
-
Masaaki Umehara,
Naoya Ando.
Umbilics of surfaces in the Lorentz-Minkowski 3-space,
Results Math.,
Vol. 78,
Sept. 2023.
-
Atsufumi Honda,
Naokawa Kosuke,
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
Symmetries of cross caps,
TOHOKU MATH. J.,
Vol. 75,
Mar. 2023.
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Shoichi Fujimori,
Yu Kawakami,
Masatoshi Kokubu,
Masaaki Umehara,
Wayne Rossman,
Kotaro Yamada,
Seong-Deog Yang.
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space,
Differential geometry and its applications,
Volume 84,
Oct. 2022.
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Atsufumi Honda,
Naokawa Kosuke,
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
A generalization of zakalyukin's lemma, and symmetries of surface singularities,
Journal of Singularities,
Vol. 25,
Oct. 2022.
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Atsufumi Honda,
Kosuke Naokawa,
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
On the existence of four or more curved foldings with common creases and crease patterns,
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry,
Oct. 2021.
公式リンク
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Masaaki Umehara,
Kotaro Yamada.
Hypersurfaces with light-like points in a Lorentzian manifold II,
Kodai Math. J.,
Vol. 44,
No. 1,
Mar. 2021.
-
Atsufumi Honda,
Naokawa Kosuke,
Kotaro Yamada,
Masaaki Umehara.
Isometric deformations of wave fronts at non-degenerate singular points,
HIROSHIMA MATH. J.,
Vol. 50,
No. 3,
Page 269--312,
Nov. 2020.
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Atsufumi Honda,
Naokawa Kosuke,
Masaaki Umehara,
Kotaro Yamada.
Curved foldings with common creases and crease patterns,
Adv. Appl. Math.,
Vol. 121,
Page 25,
Oct. 2020.
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Atsufumi Honda,
Naokawa Kosuke,
Masaaki Umehara,
Kotaro Yamada.
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms,
J. of Singul.,
Vol. 22,
pp. 59--91,
Aug. 2020.
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Atsufumi Honda,
Naokawa Kosuke,
Masaaki Umehara,
Kotaro Yamada.
Cuspidal edges with the same first fundamental forms along a knot,
:J. Knot Theory Ramifications,
Vol. 29,
No. 7,
June 2020.
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Akamine Shintaro,
Masaaki Umehara,
Kotaro Yamada.
Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality,
Proc. Amer. Math. Soc. Ser. B,
Vol. 7,
pp. 17-27,
Feb. 2020.
-
S. Akamine,
A. Honda,
M. Umehara,
K.Yamada.
Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space,
Bulletin of the Brazilian Mathematical Society, New Series,
https://doi.org/10.1007/s00574-020-00196-8,
Jan. 2020.
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K. Enomoto,
Y. KItagawa,
M. Umehara.
Extrinsic diameter of immersed flat tori in the 3-sphere II,
Journal of Geometry,
Vol. 111,
0047-2468/20/010001-26,
Jan. 2020.
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M. Umehara,
K. Yamada.
Hypersurfaces with light-like points in a Lorentzian manifold,
Journal of Geometric Analysis,
Vol. 29,
pp. 3405-3437,
Dec. 2019.
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S. Akamine,
M. Umehara,
K.Yamada.
Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space,
Proc. Japan Acad. Ser.A, Math. Sci.,
Vol. 95,
No. 9,
pp. 97-102,
Oct. 2019.
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Atsufumi Honda,
Naokawa Kosuke,
Masaaki Umehara,
Kotaro Yamada.
Isometric realization of cross caps as formal power series and its applications,
Hokkaido Mathematical Journal,
Vol. 48,
No. 1,
pp. 1-44,
Feb. 2019.
-
Shoichi Fujimori,
Yu Kawakami,
Masatoshi Kokubu,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada.
Exceptional constant mean curvature one catenoids in de Sitter 3-space,
Jan. 2019.
-
Shoichi Fujimori,
Udo Hertrich-Jeromin,
Masatoshi Kokubu,
Masaaki Umehara,
Kotaro Yamada.
Quadrics and Scherk towers,
Monatshefte für Mathematik,
Springer-Verlag,
July 2017.
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Atsufumi Honda,
Miyuki Koiso,
Masatoshi Kokubu,
Masaaki Umehara,
Kotaro Yamada.
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times,
Differential Geometry and its Applications,
Vol. 52,
pp. 64-77,
June 2017.
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Naoya Ando,
Toshfumi Fujiyama,
Masaaki Umehara.
C^1-umbilics with arbitrary high indices,
Vol. 288,
No. 1,
May 2017.
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FUJIMORI SHOICHI,
KAWAKAMI YU,
KOKUBU MASATOSHI,
ROSSMAN WAYNE,
UMEHARA MASAAKI,
YAMADA KOTARO.
ANALYTIC EXTENSION OF JORGE-MEEKS TYPE MAXIMAL SURFACES IN LORENTZ-MINKOWSKI 3-SPACE,
Osaka Journal of Mathematics,
Osaka University and Osaka City University, Departments of Mathematics,
Vol. 54,
No. 2,
pp. 249-272,
Mar. 2017.
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Shoichi Fujimori,
Yu Kawakami,
Masatoshi Kokubu,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada.
Zero mean curvatrue entire graphs of mixed type in Lorentz-Minkowski 3-space,
The Quarterly Journal of Mathematics,
Volume 67,
No. 4,
pp. 801-837,
Dec. 2016.
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Kosuke Naokawa,
Masaaki Umehara,
Kotaro Yamada.
Isometric deformations of cuspidal edges,
Tohoku Math. J.,
Vol. 68,
No. 1,
pp. 73-90,
Mar. 2016.
-
Udo Hertrich-Jeromin,
Yshihiko Suyama,
Masaaki Umehara,
Kotaro Yamada.
A duality for conformally flat hypersurfaces,
Beitraege zur Algebra und Geometrie / Contributions to Algebra and Geometry,
Vol. 56,
No. 2,
655-676,
Oct. 2015.
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Shoichi Fujimori,
Young Wook Kim,
Sung-Eun Koh,
Wayne Rossman,
Heayong Shin,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fuluid mechanics,
Math. J. Okayama Univ.,
Vol. 57,
No. 1,
pp. 173-200,
Jan. 2015.
-
Shoichi Fujimori,
Young Wook Kim,
Sung-Eun Koh,
Wayne Rossman,
Heayong Shin,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line,
OSAKA JOURNAL OF MATHEMATICS,
Vol. 57,
No. 1,
pp. 285-297,
Jan. 2015.
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hiro gounai,
Masaaki Umehara.
Caustics of convex curves,
Journal of Knot Theory and Its Ramifications,
Vol. 23,
No. 10,
pp. 1-28,
Sept. 2014.
-
Hasegawa Masaru,
Honda Atsufumi,
Kosuke Naokawa,
Masaaki Umehara,
Kotaro Yamada.
Intrinsic invariants of Cross Caps,
Selecta Math. New Ser.,
Vol. 20,
pp. 769--785,
July 2014.
-
Francisco Martin,
Masaaki Umehara,
Kotaro Yamada.
Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded,
Revista Matemática Iberoamericana,
Vol. 30,
No. 1,
pp. 309--316,
Mar. 2014.
-
Shoichi Fujimori,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
Embedded triply periodic zero mean curvature surfaces,
Michigan Math. J.,
Vol. 63,
No. 1,
pp. 189--207,
Mar. 2014.
-
Leoner Ferrer,
Francisco Martin,
Masaaki Umehara,
Kotaro Yamada.
A construction of a complete bounded null curves in C^3,
Kodai Mathematical Journal,
Vol. 37,
No. 1,
pp. 59--96,
Mar. 2014.
-
Gudlaugur Thorbergsson,
Masaaki Umehara.
A refinement of Foreman's four vertex theorem and its dual version,
Kyoto Journal of Mathematics,
Vol. 52,
Page 743--758,
June 2013.
-
Syuntaro Oono,
Tetsuya Ozawa,
Masaaki Umehara.
Closed Planar curves without inflections,
Proc. Amer. Math. Soc.,
Vol. 141,
Page 651--665,
Feb. 2013.
-
Shoichi Fujimori,
S.E. Koh,
Y.W. Kim,
Wayne Rossman,
H. Shin,
Hedenobu Takahashi,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
Zero mean curvature surface in L^3 containing a light-like line,
C. R. Acad. Sxi. Paris, Ser. I,
Vol. 350,
Page 975--978,
Nov. 2012.
-
Shohei Shiba,
Masaaki Umehara.
The behavior of curvature functions at cusps and inflection points,
Differential Geometry and its applications,
Vol. 30,
pp. 285--299,
May 2012.
-
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts,
Journal of Geometric Analysis,
Vol. 22,
pp. 883--409,
Apr. 2012.
-
Kokubu Masatoshi,
Masaaki Umehara.
Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces,
Mathematische Nachrichten,
Vol. 384,
pp. 1903--1918,
June 2011.
-
Shoichi Fujimori,
Yu Kawakami,
Masatoshi Kokubu,
Wayne Rossman,
M. Umehara,
Kotaro Yamada.
CMC-1 trinoids in H3 and metrics of constant curvature one with conical singularities on S^2,
Prooc. Japan Academy Ser. A,
Vol. 87,
pp. 144--149,
June 2011.
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Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space,
Kodai Math. J.,
Vol. 34,
pp. 390--409,
June 2011.
-
Yoshhisa Kitagawa,
Masaaki Umehara.
Extrinsic diameter of immersed flat tori in S^3,
Geometriae Dedicata,
Vol. 155,
pp. 105--140,
June 2011.
-
Masaaki Umehara,
Kotaro Yamada.
Applications of a completeness lemma in minimal surface theory to various classes of surfaces,
Bull. Lond. Math. Soc.,
Volume 43,
No. 1,
Page 191-199,
May 2011.
-
Masaaki Umehara.
A simplification of the proof of Bol's conjecture on sextactic points,
Proc. Japan Acad. Ser. A Math. Sci.,
Volume 87,
No. 1,
Page 10-12,
Jan. 2011.
-
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
Singularities of Blaschke normal maps of convex surfaces,
C. R. Math. Acad. Sci. Paris,
Vol. 348,
No. 11-12,
Page 665-668,
June 2010.
-
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
The duality between singular points and inflection points on wave fronts,
Osaka J. Math.,
Vol. 47,
No. 2,
Page 591-607,
Apr. 2010.
-
Shoichi Fujimoro,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space,
Results Math.,
Vol. 56,
No. 4,
Page 41-82,
Dec. 2009.
-
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
Ak singularities of wave fronts,
Math. Proc. Cambridge Philos. Soc.,
Vol. 146,
No. 3,
Page 731-746,
Sept. 2009.
-
Masatoshi Kokubu,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada.
Asymptotic behavior of flat surfaces in hyperbolic 3-space,
J. Math. Soc. Japan,
Vol. 61,
No. 3,
Page 799-852,
Sept. 2009.
-
Shoichi Fujimori,
Wayne Rossman,
Masaaki Umehara,
Kotaro Yamada,
Seong-Deog Yang.
Spacelike mean curvature one surfaces in de Sitter 3-space,
Comm. Anal. Geom.,
Vol. 17,
No. 3,
Page 383-427,
Sept. 2009.
-
Francisco Martin,
Masaaki Umehara,
Kotaro Yamada.
Complete bounded holomorphic curves immersed in C^2 with arbitrary genus,
Proc. Amer. Math. Soc.,
Vol. 137,
No. 10,
Page 3437-3450,
June 2009.
-
Kentaro Saji,
Masaaki Umehara,
Kotaro Yamada.
The geometry of fronts,
Ann. of Math.,
Vol. 169,
No. 2,
Page 491-529,
Apr. 2009.
-
Satoko Murata,
Masaaki Umehara.
Flat surfaces with singularities in Euclidean 3-space,
J. Differential Geom.,
Vol. 82,
No. 2,
Page 279-316,
Apr. 2009.
-
Francisco Martin,
Masaaki Umehara,
Kotaro Yamada.
Complete bounded null curves immersed in C^3 and SL(2,C),
Calc. Var. Partial Differential Equations,
Vol. 36,
No. 1,
Feb. 2009.
-
SAJI Kentaro,
UMEHARA Masaaki,
YAMADA Kotaro.
An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications,
Journal of the Mathematical Society of Japan,
一般社団法人 日本数学会,
Vol. 69,
No. 1,
pp. 417-457.
著書
-
梅原 雅顕,
一木 俊助.
これからの集合と位相,
裳華房,
Nov. 2022.
-
梅原雅顕,
山田光太郎,
佐治健太郎.
特異点をもつ曲線と曲面の幾何学,
特異点をもつ曲線と曲面の微分幾何学,
丸善出版,
Dec. 2017.
-
Masaaki Umehara,
Kotaro Yamada.
Differential Geometry of Curves and Surfaces,
Differential Geometry of Curves and Surfaces,
World Scientific,
May 2017.
-
梅原雅顕,
山田光太郎.
曲線と曲面・微分幾何的アプローチ(改訂版),
裳華房,
Feb. 2015.
-
梅原雅顕,
山田光太郎.
曲線と曲面,
曲線と曲面-微分幾何的アプローチ-,
裳華房,
June 2002.
国際会議発表 (査読有り)
国内会議発表 (査読なし・不明)
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