@book{CTT100892448,
  author = {梅原 雅顕 and 一木 俊助},
  title = {これからの集合と位相},
  publisher = {裳華房},
  year = 2022,
}

@book{CTT100769324,
  author = {梅原雅顕 and 山田光太郎 and 佐治健太郎},
  title = {特異点をもつ曲線と曲面の幾何学},
  publisher = {丸善出版},
  year = 2017,
}

@book{CTT100769322,
  author = {Masaaki Umehara and Kotaro Yamada},
  title = {Differential Geometry of Curves and Surfaces},
  publisher = {World Scientific},
  year = 2017,
}

@book{CTT100684939,
  author = {梅原雅顕 and 山田光太郎},
  title = {曲線と曲面・微分幾何的アプローチ（改訂版）},
  publisher = {裳華房},
  year = 2015,
}

@book{CTT100636110,
  author = {梅原雅顕 and 山田光太郎},
  title = {曲線と曲面},
  publisher = {裳華房},
  year = 2002,
}

@article{CTT100875616,
  author = {Atsufumi Honda and Kosuke Naokawa and Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {On the existence of four or more curved foldings with common creases and crease patterns},
  journal = {Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry},
  year = 2021,
}

@article{CTT100849149,
  author = {Masaaki Umehara and Kotaro Yamada},
  title = {Hypersurfaces with light-like points in a Lorentzian manifold II},
  journal = {Kodai Math. J.},
  year = 2021,
}

@article{CTT100849150,
  author = {Atsufumi Honda and Naokawa Kosuke and Kotaro Yamada and Masaaki Umehara},
  title = {Isometric deformations of wave fronts at non-degenerate singular points},
  journal = {HIROSHIMA MATH. J.},
  year = 2020,
}

@article{CTT100849151,
  author = {Atsufumi Honda and Naokawa Kosuke and Masaaki Umehara and Kotaro Yamada},
  title = {Curved foldings with common creases and crease patterns},
  journal = {Adv. Appl. Math.},
  year = 2020,
}

@article{CTT100849153,
  author = {Atsufumi Honda and Naokawa Kosuke and Masaaki Umehara and Kotaro Yamada},
  title = {Duality on generalized cuspidal edges preserving singular set images and first fundamental forms},
  journal = {J. of Singul.},
  year = 2020,
}

@article{CTT100849152,
  author = {Atsufumi Honda and Naokawa Kosuke and Masaaki Umehara and Kotaro Yamada},
  title = {Cuspidal edges with the same first fundamental forms along a  knot},
  journal = {：J.  Knot Theory Ramifications},
  year = 2020,
}

@article{CTT100836963,
  author = {Akamine Shintaro and Masaaki Umehara and Kotaro Yamada},
  title = {Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality},
  journal = {Proc. Amer. Math. Soc. Ser. B},
  year = 2020,
}

@article{CTT100836989,
  author = {S. Akamine and A. Honda and M. Umehara and K.Yamada},
  title = {Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space},
  journal = {Bulletin of the Brazilian Mathematical Society, New Series},
  year = 2020,
}

@article{CTT100836961,
  author = {K. Enomoto and Y. KItagawa and M. Umehara},
  title = {Extrinsic diameter of immersed flat tori in the 3-sphere II},
  journal = {Journal of Geometry},
  year = 2020,
}

@article{CTT100836956,
  author = {M. Umehara and K. Yamada},
  title = {Hypersurfaces with light-like points in a Lorentzian manifold},
  journal = {Journal of Geometric Analysis},
  year = 2019,
}

@article{CTT100836957,
  author = {S. Akamine and M. Umehara and K.Yamada},
  title = {Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space},
  journal = {Proc. Japan Acad. Ser.A, Math. Sci.},
  year = 2019,
}

@article{CTT100836955,
  author = {Atsufumi Honda and Naokawa Kosuke and Masaaki Umehara and Kotaro Yamada},
  title = {Isometric realization of cross caps as formal power series and its applications},
  journal = {Hokkaido Mathematical Journal},
  year = 2019,
}

@article{CTT100836959,
  author = {Shoichi Fujimori and Yu Kawakami and Masatoshi Kokubu and Wayne Rossman and Masaaki Umehara and Kotaro Yamada},
  title = {Exceptional constant mean curvature one  catenoids in de Sitter 3-space},
  journal = {},
  year = 2019,
}

@article{CTT100755400,
  author = {Shoichi Fujimori and Udo Hertrich-Jeromin and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
  title = {Quadrics and Scherk towers},
  journal = {Monatshefte für Mathematik},
  year = 2017,
}

@article{CTT100755402,
  author = {Atsufumi Honda and Miyuki Koiso and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
  title = {Mixed type surfaces with bounded mean curvature in 3-dimensional space-times},
  journal = {Differential Geometry and its Applications},
  year = 2017,
}

@article{CTT100755405,
  author = {Naoya Ando and Toshfumi Fujiyama and Masaaki Umehara},
  title = {C^1-umbilics with arbitrary high indices},
  journal = {},
  year = 2017,
}

@article{CTT100754426,
  author = {FUJIMORI SHOICHI and KAWAKAMI YU and KOKUBU MASATOSHI and ROSSMAN WAYNE and UMEHARA MASAAKI and YAMADA KOTARO},
  title = {ANALYTIC EXTENSION OF JORGE-MEEKS TYPE MAXIMAL SURFACES IN LORENTZ-MINKOWSKI 3-SPACE},
  journal = {Osaka Journal of Mathematics},
  year = 2017,
}

@article{CTT100755406,
  author = {Shoichi Fujimori and Yu Kawakami and Masatoshi Kokubu and Wayne Rossman and Masaaki Umehara and Kotaro Yamada},
  title = {Zero mean curvatrue entire graphs of mixed type in Lorentz-Minkowski 3-space},
  journal = {The Quarterly Journal of Mathematics},
  year = 2016,
}

@article{CTT100704466,
  author = {Kosuke Naokawa and Masaaki Umehara and Kotaro Yamada},
  title = {Isometric deformations of cuspidal edges},
  journal = {Tohoku Math. J.},
  year = 2016,
}

@article{CTT100704464,
  author = {Udo Hertrich-Jeromin and Yshihiko Suyama and Masaaki Umehara and Kotaro Yamada},
  title = {A duality for conformally flat hypersurfaces},
  journal = {Beitraege zur Algebra und Geometrie / Contributions to Algebra and Geometry},
  year = 2015,
}

@article{CTT100684946,
  author = {Shoichi Fujimori and Young Wook  Kim and Sung-Eun  Koh and Wayne Rossman and Heayong  Shin and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line},
  journal = {OSAKA JOURNAL OF MATHEMATICS},
  year = 2015,
}

@article{CTT100684944,
  author = {Shoichi Fujimori and Young Wook  Kim and Sung-Eun  Koh and Wayne Rossman and Heayong  Shin and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fuluid mechanics},
  journal = {Math. J. Okayama Univ.},
  year = 2015,
}

@article{CTT100704465,
  author = {hiro gounai and Masaaki Umehara},
  title = {Caustics of convex curves},
  journal = {Journal of Knot Theory and Its Ramifications},
  year = 2014,
}

@article{CTT100684951,
  author = {Hasegawa Masaru and Honda Atsufumi and Kosuke Naokawa and Masaaki Umehara and Kotaro Yamada},
  title = {Intrinsic invariants of Cross Caps},
  journal = {Selecta Math. New Ser.},
  year = 2014,
}

@article{CTT100754396,
  author = {Shoichi Fujimori and Wayne Rossman and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {Embedded triply periodic zero mean curvature surfaces},
  journal = {Michigan Math. J.},
  year = 2014,
}

@article{CTT100670101,
  author = {Francisco Martin and Masaaki Umehara and Kotaro Yamada},
  title = {Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded},
  journal = {Revista Matemática Iberoamericana},
  year = 2014,
}

@article{CTT100670100,
  author = {Leoner Ferrer and Francisco Martin and Masaaki Umehara and Kotaro Yamada},
  title = {A construction of a complete bounded null curves in C^3},
  journal = {Kodai Mathematical Journal},
  year = 2014,
}

@article{CTT100652778,
  author = {Gudlaugur Thorbergsson and Masaaki Umehara},
  title = {A refinement of Foreman's four vertex theorem and its dual version},
  journal = {Kyoto Journal of Mathematics},
  year = 2013,
}

@article{CTT100652772,
  author = {Syuntaro Oono and Tetsuya Ozawa and Masaaki Umehara},
  title = {Closed Planar curves without inflections},
  journal = {Proc. Amer. Math. Soc.},
  year = 2013,
}

@article{CTT100652800,
  author = {Shoichi Fujimori and S.E. Koh and Y.W. Kim and Wayne Rossman and H. Shin and Hedenobu Takahashi and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {Zero mean curvature surface in L^3 containing a light-like line},
  journal = {C. R. Acad. Sxi. Paris, Ser. I},
  year = 2012,
}

@article{CTT100636109,
  author = {Shohei Shiba and Masaaki Umehara},
  title = {The behavior of curvature functions at cusps and inflection points},
  journal = {Differential Geometry and its applications},
  year = 2012,
}

@article{CTT100636108,
  author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts},
  journal = {Journal of Geometric Analysis},
  year = 2012,
}

@article{CTT100636102,
  author = {Kokubu Masatoshi and Masaaki Umehara},
  title = {Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces},
  journal = {Mathematische Nachrichten},
  year = 2011,
}

@article{CTT100636105,
  author = {Shoichi Fujimori and Yu Kawakami and Masatoshi Kokubu and Wayne Rossman and M. Umehara and Kotaro Yamada},
  title = {CMC-1 trinoids in H3 and metrics of constant curvature one with conical singularities on S^2},
  journal = {Prooc. Japan Academy Ser. A},
  year = 2011,
}

@article{CTT100636104,
  author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space},
  journal = {Kodai Math. J.},
  year = 2011,
}

@article{CTT100636103,
  author = {Yoshhisa Kitagawa and Masaaki Umehara},
  title = {Extrinsic diameter of immersed flat tori in S^3},
  journal = {Geometriae Dedicata},
  year = 2011,
}

@article{CTT100622192,
  author = {Masaaki Umehara and Kotaro Yamada},
  title = {Applications of a completeness lemma in minimal surface theory to various classes of surfaces},
  journal = {Bull. Lond. Math. Soc.},
  year = 2011,
}

@article{CTT100622191,
  author = {Masaaki Umehara},
  title = {A simplification of the proof of Bol's conjecture on sextactic points},
  journal = {Proc. Japan Acad. Ser. A Math. Sci.},
  year = 2011,
}

@article{CTT100622197,
  author = {Kentaro Saji and Masaaki  Umehara and Kotaro Yamada},
  title = {Singularities of Blaschke normal maps of convex surfaces},
  journal = {C. R. Math. Acad. Sci. Paris},
  year = 2010,
}

@article{CTT100622193,
  author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {The duality between singular points and inflection points on wave fronts},
  journal = {Osaka J. Math.},
  year = 2010,
}

@article{CTT100622205,
  author = {Shoichi Fujimoro and Wayne Rossman and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space},
  journal = {Results Math.},
  year = 2009,
}

@article{CTT100622218,
  author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {Ak singularities of wave fronts},
  journal = {Math. Proc. Cambridge Philos. Soc.},
  year = 2009,
}

@article{CTT100622210,
  author = {Masatoshi Kokubu and Wayne Rossman and Masaaki Umehara and Kotaro Yamada},
  title = {Asymptotic behavior of flat surfaces in hyperbolic 3-space},
  journal = {J. Math. Soc. Japan},
  year = 2009,
}

@article{CTT100622207,
  author = {Shoichi Fujimori and Wayne Rossman and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
  title = {Spacelike mean curvature one surfaces in de Sitter 3-space},
  journal = {Comm. Anal. Geom.},
  year = 2009,
}

@article{CTT100622215,
  author = {Francisco Martin and Masaaki Umehara and Kotaro Yamada},
  title = {Complete bounded holomorphic curves immersed in C^2 with arbitrary genus},
  journal = {Proc. Amer. Math. Soc.},
  year = 2009,
}

@article{CTT100622212,
  author = {Satoko Murata and Masaaki  Umehara},
  title = {Flat surfaces with singularities in Euclidean 3-space},
  journal = {J. Differential Geom.},
  year = 2009,
}

@article{CTT100622219,
  author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
  title = {The geometry of fronts},
  journal = {Ann. of Math.},
  year = 2009,
}

@article{CTT100622216,
  author = {Francisco Martin and Masaaki Umehara and Kotaro Yamada},
  title = {Complete bounded null curves immersed in C^3 and SL(2,C)},
  journal = {Calc. Var. Partial Differential Equations},
  year = 2009,
}

@article{CTT100754428,
  author = {SAJI Kentaro and UMEHARA Masaaki and YAMADA Kotaro},
  title = {An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications},
  journal = {Journal of the Mathematical Society of Japan},
  year = ,
}

@inproceedings{CTT100781806,
  author = {Masaaki Umehara and Kotaro Yamada},
  title = {Surfaces with light-like points in Lorentz-Minkowski 3-space with applications},
  booktitle = {Springer Proceedings in Mathematics & Statisticsbook series (PROMS, volume 211)},
  year = 2018,
}

@inproceedings{CTT100721747,
  author = {梅原雅顕},
  title = {曲面の臍点の指数について},
  booktitle = {},
  year = 2015,
}