@book{CTT100769324, author = {Masaaki Umehara and Kotaro Yamada and Kentaro Saji}, 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 = {Masaaki Umehara and Kotaro Yamada}, 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 = {Masaaki Umehara and Kotaro Yamada}, 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{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{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{CTT100815748, author = {Hasegawa, M. and Honda, A. and Naokawa, K. and Saji, K. and Umehara, M. and Kotaro Yamada}, title = {Intrinsic properties of surfaces with singularities}, journal = {International Journal of Mathematics}, year = 2015, } @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{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{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{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{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{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{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{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{CTT100815684, author = {Liu, H. and Umehara, M. and Kotaro Yamada}, title = {The duality of conformally flat manifolds}, journal = {Bulletin of the Brazilian Mathematical Society}, year = 2011, } @article{CTT100815852, author = {Kotaro Yamada}, title = {数学基礎教育受講者の現状(<特集テーマ>授業・教育の連節)}, journal = {大学教育}, year = 2010, } @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{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, } @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{CTT100723223, author = {Kotaro Yamada}, title = {Analytic Extensions of spacelike maximal surfaces in MInkowski 3-space to timelike surfaces}, booktitle = {}, year = 2016, } @inproceedings{CTT100815664, author = {Martins, L.F. and Saji, K. and Umehara, M. and Kotaro Yamada}, title = {Behavior of gaussian curvature and mean curvature near non-degenerate singular points on wave fronts}, booktitle = {Springer Proceedings in Mathematics and Statistics}, year = 2016, } @inproceedings{CTT100723225, author = {Kotaro Yamada}, title = {Analytic Extensions of spacelike maximal surfaces in MInkowski 3-space to timelike surfaces}, booktitle = {}, year = 2016, } @inproceedings{CTT100815744, author = {Fujimori, S. and Kawakami, Y. and Kokubu, M. and Rossman, W. and Umehara, M. and Kotaro Yamada}, title = {Hyperbolic metrics on Riemann surfaces and space-like CMC-1 surfaces in de Sitter 3-space}, booktitle = {Springer Proceedings in Mathematics and Statistics}, year = 2013, } @inproceedings{CTT100815794, author = {Kotaro Yamada}, title = {Minkowski空間の極大曲面とde Sitter空間のCMC-1曲面 (調和写像論の深化と展望)}, booktitle = {数理解析研究所講究録}, year = 2010, }