Edit Profile (opens in new tab) Yamada, Kotaro Co-Author Distance Author ID: yamada.kotaro Published as: Yamada, Kotaro; Yamada, K. Homepage: http://www.math.titech.ac.jp/~kotaro/ Documents Indexed: 101 Publications since 1987, including 2 Books and 4 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 28 Co-Authors with 97 Joint Publications 312 Co-Co-Authors all top 5 Co-Authors 4 single-authored 94 Umehara, Masaaki 28 Rossman, Wayne 20 Saji, Kentaro 17 Kokubu, Masatoshi 14 Fujimori, Shoichi 14 Honda, Atsufumi 11 Naokawa, Kosuke 8 Yang, Seong-Deog 6 Kawakami, Yu 6 Martín, Francisco 5 Akamine, Shintaro 4 Kato, Shin 4 Kim, Young Wook 4 Koh, Sung-Eun 4 Shin, Heayong 3 Sasaki, Takeshi 3 Yoshida, Masaaki 2 Hasegawa, Masaru 2 Hertrich-Jeromin, Udo J. 1 Ferrer, Leonor 1 Fijimori, Shoichi 1 Kobayashi, Shoshichi 1 Koiso, Miyuki 1 Liu, Huili 1 Martins, Luciana F. 1 Noro, Masayuki 1 Suyama, Yoshihiko 1 Takahashi, Masaro 1 Tasaki, Hiroyuki all top 5 Serials 5 Osaka Journal of Mathematics 4 Tôhoku Mathematical Journal. Second Series 3 Journal of the Mathematical Society of Japan 3 Kodai Mathematical Journal 3 Pacific Journal of Mathematics 3 RIMS Kokyuroku 3 Electronic Geometry Model 2 Beiträge zur Algebra und Geometrie 2 Bulletin of the London Mathematical Society 2 Hiroshima Mathematical Journal 2 Hokkaido Mathematical Journal 2 Mathematical Journal of Okayama University 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Tokyo Journal of Mathematics 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Experimental Mathematics 2 Communications in Analysis and Geometry 2 Calculus of Variations and Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Singularities 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Japanese Journal of Mathematics. New Series 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Tsukuba Journal of Mathematics 1 Advances in Applied Mathematics 1 Revista Matemática Iberoamericana 1 Sugaku Expositions 1 Journal of Knot Theory and its Ramifications 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 The Quarterly Journal of Mathematics 1 Seminar on Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Series in Algebraic and Differential Geometry all top 5 Fields 102 Differential geometry (53-XX) 18 Manifolds and cell complexes (57-XX) 11 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,006 times in 339 Documents Cited by ▼ Year ▼ Singularities of flat fronts in hyperbolic space. Zbl 1110.53044 Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 106 2005 The geometry of fronts. Zbl 1177.53014 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 86 2009 Singularities of maximal surfaces. Zbl 1145.57026 Fujimori, Shoichi; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 60 2008 Maximal surfaces with singularities in Minkowski space. Zbl 1109.53016 Umehara, Masaaki; Yamada, Kotaro 59 2006 Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space. Zbl 0795.53006 Umehara, Masaaki; Yamada, Kotaro 55 1993 Flat fronts in hyperbolic 3-space. Zbl 1078.53009 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 39 2004 Flat fronts in hyperbolic 3-space and their caustics. Zbl 1120.53036 Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 33 2007 Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts. Zbl 1347.53044 Martins, L. F.; Saji, K.; Umehara, M.; Yamada, K. 32 2016 \(A_k\) singlarities of wave fronts. Zbl 1173.53039 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 29 2009 Metrics of constant curvature 1 with three conical singularities on the 2-sphere. Zbl 0958.30029 Umehara, Masaaki; Yamada, Kotaro 26 2000 A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in \(\mathbb{R}{}^ 3\) into the hyperbolic 3-space. Zbl 0757.53033 Umehara, Masaaki; Yamada, Kotaro 25 1992 Intrinsic properties of surfaces with singularities. Zbl 1321.57039 Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 25 2015 Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus. Zbl 0913.53025 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 19 1997 Intrinsic invariants of cross caps. Zbl 1298.57024 Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 18 2014 Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. Zbl 1320.53017 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 18 2015 Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map. Zbl 0841.53050 Umehara, Masaaki; Yamada, Kotaro 17 1996 Isometric deformations of cuspidal edges. Zbl 1350.57031 Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 16 2016 A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality. Zbl 1027.53010 Umehara, Masaaki; Yamada, Kotaro 15 1997 Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts. Zbl 1276.57032 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 15 2012 Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line. Zbl 1257.53090 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Takahashi, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 15 2012 Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line. Zbl 1319.53008 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 14 2015 An elementary proof of Small’s formula for null curves in \(\text{PSL}(2,\mathbb{C})\) and a analogue for Legendrian curves in \(\text{PSL}(2,\mathbb{C})\). Zbl 1042.53042 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 14 2003 The duality between singular points and inflection points on wave fronts. Zbl 1209.57020 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 14 2010 Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space. Zbl 1364.53012 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 11 2016 Behavior of corank-one singular points on wave fronts. Zbl 1155.57027 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 11 2008 Hypersurfaces with light-like points in a Lorentzian manifold. Zbl 1430.53009 Umehara, M.; Yamada, K. 11 2019 Asymptotic behavior of flat surfaces in hyperbolic 3-space. Zbl 1177.53059 Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 10 2009 \(A_{2}\)-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space. Zbl 1272.57022 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 9 2011 CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere. Zbl 1242.53070 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 9 2011 New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space. Zbl 1186.53071 Fujimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog 9 2009 Complete bounded holomorphic curves immersed in \(\mathbb {C}^2\) with arbitrary genus. Zbl 1177.53056 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 9 2009 Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. Zbl 1301.53056 Fijimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog 9 2014 Surfaces with light-like points in Lorentz-Minkowski 3-space with applications. Zbl 1402.53007 Umehara, Masaaki; Yamada, Kotaro 9 2017 The duality of conformally flat manifolds. Zbl 1213.53049 Liu, Huili; Umehara, Masaaki; Yamada, Kotaro 8 2011 A duality for conformally flat hypersurfaces. Zbl 1332.53078 Hertrich-Jeromin, Udo; Suyama, Y.; Umehara, M.; Yamada, Kotaro 8 2015 An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications. Zbl 1372.57039 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 8 2017 Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. Zbl 1369.53014 Honda, Atsufumi; Koiso, Miyuki; Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 8 2017 Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. I. Zbl 1088.53004 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 7 2004 Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\). Zbl 1172.53007 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 6 2009 Differential geometry of curves and surfaces. Translated from the Japanese by Wayne Rossman. Zbl 1381.53002 Umehara, Masaaki; Yamada, Kotaro 6 2017 Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. Zbl 1433.53017 Akamine, S.; Umehara, M.; Yamada, K. 6 2020 Spacelike mean curvature one surfaces in de Sitter 3-space. Zbl 1205.53064 Fujimori, S.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S.-D. 5 2009 A deformation of tori with constant mean curvature in \({\mathbb{R}{}}^ 3\) to those in other space forms. Zbl 0753.53040 Umehara, Masaaki; Yamada, Kotaro 5 1992 Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. Zbl 1375.53016 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 5 2017 Derived Schwary map of the hypergeometric differential equation and a parallel family of flat fronts. Zbl 1177.33014 Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 5 2008 Isometric realization of cross caps as formal power series and its applications. Zbl 1445.57022 Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 5 2019 Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Zbl 1441.53005 Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro 5 2019 Applications of a completeness Lemma in minimal surface theory to various classes of surfaces. Zbl 1211.53081 Umehara, Masaaki; Yamada, Kotaro 4 2011 An inverse problem of the flux for minimal surfaces. Zbl 0904.53012 Kato, Shin; Umehara, Masaaki; Yamada, Kotaro 4 1997 Minimal surfaces that attain equality in the Chern-Osserman inequality. Zbl 1029.53013 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 4 2002 Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. Zbl 1058.53008 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 4 2003 The hyperbolic Schwarz map for the hypergeometric equation. Zbl 1157.33305 Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 4 2008 Duality on generalized cuspidal edges preserving singular set images and first fundamental forms. Zbl 1468.57028 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 4 2020 A construction of a complete bounded null curve in \(\mathbb C^3\). Zbl 1336.53013 Ferrer, Leonor; Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro 4 2014 Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded. Zbl 1296.53154 Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro 4 2014 Isometric deformations of wave fronts at non-degenerate singular points. Zbl 1481.57044 Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 4 2020 Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications. Zbl 0921.53030 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 3 1999 An analogue of minimal surface theory in \(\operatorname{SL}(n,\mathbb{C})/\operatorname{SU}(n)\). Zbl 1005.53053 Kokubu, M.; Takahashi, Masaro; Umehara, M.; Yamada, K. 3 2002 Period problems for mean curvature one surfaces in \(H^3\) (with applications to surfaces of low total curvature). Zbl 1171.53041 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 3 2008 Deformations of symmetric spaces of compact type to their noncompact duals. Zbl 0771.53031 Tasaki, Hiroyuki; Umehara, Masaaki; Yamada, Kotaro 3 1991 Corrigendum: Applications of a completeness lemma in minimal surface theory to various classes of surfaces. Zbl 1241.53053 Umehara, Masaaki; Yamada, Kotaro 3 2012 Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. Zbl 1461.53005 Akamine, S.; Honda, A.; Umehara, M.; Yamada, K. 3 2021 Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. Zbl 1435.53046 Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K. 3 2020 Minimal tori in \(S^ 3\) whose lines of curvature lie in \(S^ 2\). Zbl 0629.53052 Yamada, Kotaro 2 1987 General existence of minimial surfaces of genus zero with catenoidal ends and prescribed flux. Zbl 0967.53043 Kato, Shin; Umehara, Masaaki; Yamada, Kotaro 2 2000 Another construction of a CMC-1 surface in \(H^3\). Zbl 1004.53043 Umehara, Masaaki; Yamada, Kotaro 2 1996 Confluence of swallowtail singularities of the hyperbolic Schwarz map defined by the hypergeometric differential equation. Zbl 1152.33303 Noro, Masayuki; Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 2 2008 Erratum to: “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line”. Zbl 1465.53027 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 2 2016 Cuspidal edges with the same first fundamental forms along a knot. Zbl 1455.57032 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 2 2020 Erratum to: “Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\)”. Zbl 1258.53012 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 2 2013 Quadrics and Scherk towers. Zbl 1396.53083 Fujimori, S.; Hertrich-Jeromin, U.; Kokubu, M.; Umehara, M.; Yamada, K. 2 2018 Geometry of surfaces of constant mean curvature 1 in the hyperbolic 3-space. Zbl 0899.53047 Umehara, Masaaki; Yamada, Kotaro 1 1995 Addendum to: “Singularities of flat fronts in hyperbolic space”. Zbl 1384.53053 Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2018 Deformations of Lie groups and their application to surface theory. Zbl 1005.53007 Umehara, Masaaki; Yamada, Kotaro 1 1993 Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. Zbl 1100.53051 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 1 2005 General existence of minimal surfaces with prescribed flux. II. Zbl 1090.53500 Kato, S.; Umehara, M.; Yamada, K. 1 1997 Singularities of Blaschke normal maps of convex surfaces. Zbl 1235.57018 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2010 Curved foldings with common creases and crease patterns. Zbl 1461.53003 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2020 A generalization of Zakalyukin’s lemma, and symmetries of surface singularities. Zbl 07742122 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2022 Hyperbolic metrics on Riemann surfaces and space-like CMC-1 surfaces in de Sitter 3-space. Zbl 1285.53045 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 1 2013 Differential geometry of curves and surfaces with singularities. Translated from the Japanese by Wayne Rossman. Zbl 1497.53002 Umehara, Masaaki; Saji, Kentaro; Yamada, Kotaro 1 2022 A generalization of Zakalyukin’s lemma, and symmetries of surface singularities. Zbl 07742122 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2022 Differential geometry of curves and surfaces with singularities. Translated from the Japanese by Wayne Rossman. Zbl 1497.53002 Umehara, Masaaki; Saji, Kentaro; Yamada, Kotaro 1 2022 Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. Zbl 1461.53005 Akamine, S.; Honda, A.; Umehara, M.; Yamada, K. 3 2021 Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. Zbl 1433.53017 Akamine, S.; Umehara, M.; Yamada, K. 6 2020 Duality on generalized cuspidal edges preserving singular set images and first fundamental forms. Zbl 1468.57028 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 4 2020 Isometric deformations of wave fronts at non-degenerate singular points. Zbl 1481.57044 Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 4 2020 Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. Zbl 1435.53046 Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K. 3 2020 Cuspidal edges with the same first fundamental forms along a knot. Zbl 1455.57032 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 2 2020 Curved foldings with common creases and crease patterns. Zbl 1461.53003 Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2020 Hypersurfaces with light-like points in a Lorentzian manifold. Zbl 1430.53009 Umehara, M.; Yamada, K. 11 2019 Isometric realization of cross caps as formal power series and its applications. Zbl 1445.57022 Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 5 2019 Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Zbl 1441.53005 Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro 5 2019 Quadrics and Scherk towers. Zbl 1396.53083 Fujimori, S.; Hertrich-Jeromin, U.; Kokubu, M.; Umehara, M.; Yamada, K. 2 2018 Addendum to: “Singularities of flat fronts in hyperbolic space”. Zbl 1384.53053 Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2018 Surfaces with light-like points in Lorentz-Minkowski 3-space with applications. Zbl 1402.53007 Umehara, Masaaki; Yamada, Kotaro 9 2017 An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications. Zbl 1372.57039 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 8 2017 Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. Zbl 1369.53014 Honda, Atsufumi; Koiso, Miyuki; Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 8 2017 Differential geometry of curves and surfaces. Translated from the Japanese by Wayne Rossman. Zbl 1381.53002 Umehara, Masaaki; Yamada, Kotaro 6 2017 Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. Zbl 1375.53016 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 5 2017 Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts. Zbl 1347.53044 Martins, L. F.; Saji, K.; Umehara, M.; Yamada, K. 32 2016 Isometric deformations of cuspidal edges. Zbl 1350.57031 Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 16 2016 Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space. Zbl 1364.53012 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 11 2016 Erratum to: “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line”. Zbl 1465.53027 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 2 2016 Intrinsic properties of surfaces with singularities. Zbl 1321.57039 Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 25 2015 Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. Zbl 1320.53017 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 18 2015 Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line. Zbl 1319.53008 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 14 2015 A duality for conformally flat hypersurfaces. Zbl 1332.53078 Hertrich-Jeromin, Udo; Suyama, Y.; Umehara, M.; Yamada, Kotaro 8 2015 Intrinsic invariants of cross caps. Zbl 1298.57024 Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro 18 2014 Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. Zbl 1301.53056 Fijimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog 9 2014 A construction of a complete bounded null curve in \(\mathbb C^3\). Zbl 1336.53013 Ferrer, Leonor; Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro 4 2014 Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded. Zbl 1296.53154 Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro 4 2014 Erratum to: “Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\)”. Zbl 1258.53012 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 2 2013 Hyperbolic metrics on Riemann surfaces and space-like CMC-1 surfaces in de Sitter 3-space. Zbl 1285.53045 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 1 2013 Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts. Zbl 1276.57032 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 15 2012 Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line. Zbl 1257.53090 Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Takahashi, H.; Umehara, M.; Yamada, K.; Yang, S.-D. 15 2012 Corrigendum: Applications of a completeness lemma in minimal surface theory to various classes of surfaces. Zbl 1241.53053 Umehara, Masaaki; Yamada, Kotaro 3 2012 \(A_{2}\)-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space. Zbl 1272.57022 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 9 2011 CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere. Zbl 1242.53070 Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 9 2011 The duality of conformally flat manifolds. Zbl 1213.53049 Liu, Huili; Umehara, Masaaki; Yamada, Kotaro 8 2011 Applications of a completeness Lemma in minimal surface theory to various classes of surfaces. Zbl 1211.53081 Umehara, Masaaki; Yamada, Kotaro 4 2011 The duality between singular points and inflection points on wave fronts. Zbl 1209.57020 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 14 2010 Singularities of Blaschke normal maps of convex surfaces. Zbl 1235.57018 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 1 2010 The geometry of fronts. Zbl 1177.53014 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 86 2009 \(A_k\) singlarities of wave fronts. Zbl 1173.53039 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 29 2009 Asymptotic behavior of flat surfaces in hyperbolic 3-space. Zbl 1177.53059 Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 10 2009 New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space. Zbl 1186.53071 Fujimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog 9 2009 Complete bounded holomorphic curves immersed in \(\mathbb {C}^2\) with arbitrary genus. Zbl 1177.53056 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 9 2009 Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\). Zbl 1172.53007 Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro 6 2009 Spacelike mean curvature one surfaces in de Sitter 3-space. Zbl 1205.53064 Fujimori, S.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S.-D. 5 2009 Singularities of maximal surfaces. Zbl 1145.57026 Fujimori, Shoichi; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 60 2008 Behavior of corank-one singular points on wave fronts. Zbl 1155.57027 Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 11 2008 Derived Schwary map of the hypergeometric differential equation and a parallel family of flat fronts. Zbl 1177.33014 Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 5 2008 The hyperbolic Schwarz map for the hypergeometric equation. Zbl 1157.33305 Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 4 2008 Period problems for mean curvature one surfaces in \(H^3\) (with applications to surfaces of low total curvature). Zbl 1171.53041 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 3 2008 Confluence of swallowtail singularities of the hyperbolic Schwarz map defined by the hypergeometric differential equation. Zbl 1152.33303 Noro, Masayuki; Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 2 2008 Flat fronts in hyperbolic 3-space and their caustics. Zbl 1120.53036 Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 33 2007 Maximal surfaces with singularities in Minkowski space. Zbl 1109.53016 Umehara, Masaaki; Yamada, Kotaro 59 2006 Singularities of flat fronts in hyperbolic space. Zbl 1110.53044 Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro 106 2005 Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. Zbl 1100.53051 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 1 2005 Flat fronts in hyperbolic 3-space. Zbl 1078.53009 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 39 2004 Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. I. Zbl 1088.53004 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 7 2004 An elementary proof of Small’s formula for null curves in \(\text{PSL}(2,\mathbb{C})\) and a analogue for Legendrian curves in \(\text{PSL}(2,\mathbb{C})\). Zbl 1042.53042 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 14 2003 Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. Zbl 1058.53008 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 4 2003 Minimal surfaces that attain equality in the Chern-Osserman inequality. Zbl 1029.53013 Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro 4 2002 An analogue of minimal surface theory in \(\operatorname{SL}(n,\mathbb{C})/\operatorname{SU}(n)\). Zbl 1005.53053 Kokubu, M.; Takahashi, Masaro; Umehara, M.; Yamada, K. 3 2002 Metrics of constant curvature 1 with three conical singularities on the 2-sphere. Zbl 0958.30029 Umehara, Masaaki; Yamada, Kotaro 26 2000 General existence of minimial surfaces of genus zero with catenoidal ends and prescribed flux. Zbl 0967.53043 Kato, Shin; Umehara, Masaaki; Yamada, Kotaro 2 2000 Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications. Zbl 0921.53030 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 3 1999 Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus. Zbl 0913.53025 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 19 1997 A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality. Zbl 1027.53010 Umehara, Masaaki; Yamada, Kotaro 15 1997 An inverse problem of the flux for minimal surfaces. Zbl 0904.53012 Kato, Shin; Umehara, Masaaki; Yamada, Kotaro 4 1997 General existence of minimal surfaces with prescribed flux. II. Zbl 1090.53500 Kato, S.; Umehara, M.; Yamada, K. 1 1997 Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map. Zbl 0841.53050 Umehara, Masaaki; Yamada, Kotaro 17 1996 Another construction of a CMC-1 surface in \(H^3\). Zbl 1004.53043 Umehara, Masaaki; Yamada, Kotaro 2 1996 Geometry of surfaces of constant mean curvature 1 in the hyperbolic 3-space. Zbl 0899.53047 Umehara, Masaaki; Yamada, Kotaro 1 1995 Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space. Zbl 0795.53006 Umehara, Masaaki; Yamada, Kotaro 55 1993 Deformations of Lie groups and their application to surface theory. Zbl 1005.53007 Umehara, Masaaki; Yamada, Kotaro 1 1993 A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in \(\mathbb{R}{}^ 3\) into the hyperbolic 3-space. Zbl 0757.53033 Umehara, Masaaki; Yamada, Kotaro 25 1992 A deformation of tori with constant mean curvature in \({\mathbb{R}{}}^ 3\) to those in other space forms. Zbl 0753.53040 Umehara, Masaaki; Yamada, Kotaro 5 1992 Deformations of symmetric spaces of compact type to their noncompact duals. Zbl 0771.53031 Tasaki, Hiroyuki; Umehara, Masaaki; Yamada, Kotaro 3 1991 Minimal tori in \(S^ 3\) whose lines of curvature lie in \(S^ 2\). Zbl 0629.53052 Yamada, Kotaro 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 271 Authors 43 Umehara, Masaaki 39 Yamada, Kotaro 36 Saji, Kentaro 19 Honda, Atsufumi 19 Rossman, Wayne 15 Teramoto, Keisuke 13 Alarcón, Antonio 13 Izumiya, Shyuichi 12 Takahashi, Masatomo 11 Fujimori, Shoichi 11 Kokubu, Masatoshi 11 Yang, Seong-Deog 10 Mira, Pablo 10 Naokawa, Kosuke 9 Akamine, Shintaro 9 Gálvez, Jose Antonio 9 Lopez Fernandez, Francisco Jose 9 Oset Sinha, Raúl 8 Kawakami, Yu 7 Fernández, Isabel 7 Hertrich-Jeromin, Udo J. 7 Kim, Young Wook 6 Brander, David 5 Eremenko, Alexandre Émmanuilovich 5 Forstnerič, Franc 5 Fukunaga, Tomonori 5 Gabrielov, Andrei 5 Ishikawa, Goo 5 Koh, Sung-Eun 5 Martins, Luciana F. 5 Milán, Francisco 5 Pei, Donghe 5 Shin, Heayong 5 Tari, Farid 5 Wang, Changping 4 Benedini Riul, Pedro 4 Hasegawa, Masaru 4 Kumar, Pradip 4 Martín, Francisco 4 Ogata, Yuta 4 Roitman, Pedro 4 Sasaki, Takeshi 4 Tenenblat, Keti 4 Wang, Xiaozhen 4 Xie, Zhenxiao 4 Yasumoto, Masashi 4 Yildirim, Handan 4 Yoshida, Masaaki 3 Aiyama, Reiko 3 Akutagawa, Kazuo 3 Ando, Naoya 3 Bettiol, Renato G. 3 Chen, Liang 3 Cho, Joseph 3 Corro, Armando Mauro Vasquez 3 Daniel, Benoît 3 Kabata, Yutaro 3 Kato, Shin 3 Musso, Emilio 3 Nicolodi, Lorenzo 3 Nuño-Ballesteros, Juan José 3 Pember, Mason 3 Piccione, Paolo 3 Suyama, Yoshihiko 3 Tarasov, Vitaly Olegovich 3 Wang, Guofang 3 Xu, Bin 3 Yu, Zuhuan 3 Zhu, Xuwen 2 Aledo, Juan Ángel 2 Burstall, Francis Everett 2 Butscher, Adrian 2 Chen, Jianhua 2 Chen, Qing 2 Craizer, Marcos 2 Fujino, Hiroki 2 Fukui, Toshizumi 2 Gao, Ruihua 2 Georgiou, Nikos 2 Globevnik, Josip 2 Guilfoyle, Brendan S. 2 Hamada, Kohei 2 Hashimoto, Kaname 2 Honda, Shun’ichi 2 Jiménez, Asun 2 Kalvin, Victor 2 Kaneda, Shin 2 Koiso, Miyuki 2 Li, Yanlin 2 Liu, Huili 2 Medina-Tejeda, T. A. 2 Mohanty, Sai Rasmi Ranjan 2 Muroya, Hisayoshi 2 Nakajima, Naomichi 2 Nishimura, Takashi 2 Polly, Denis 2 Romero Fuster, Maria del Carmen 2 Siciliano, Gaetano 2 Silva, Jorge Luiz Deolindo 2 Singh, Rahul Kumar ...and 171 more Authors all top 5 Cited in 115 Serials 22 Tôhoku Mathematical Journal. Second Series 15 Differential Geometry and its Applications 11 Journal of Geometry and Physics 11 The Journal of Geometric Analysis 10 Osaka Journal of Mathematics 10 Transactions of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Journal of the Mathematical Society of Japan 9 International Journal of Mathematics 9 Journal of Singularities 8 Journal of Geometry 8 Calculus of Variations and Partial Differential Equations 7 Mathematische Zeitschrift 7 Annals of Global Analysis and Geometry 7 Bulletin of the Brazilian Mathematical Society. New Series 6 Beiträge zur Algebra und Geometrie 6 Advances in Mathematics 6 Mathematische Annalen 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Geometriae Dedicata 5 Manuscripta Mathematica 5 Proceedings of the Japan Academy. Series A 5 Results in Mathematics 5 Topology and its Applications 4 Illinois Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Hiroshima Mathematical Journal 3 Kodai Mathematical Journal 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Mediterranean Journal of Mathematics 3 Science China. Mathematics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Anais da Academia Brasileira de Ciências 2 Annales Polonici Mathematici 2 Hokkaido Mathematical Journal 2 Pacific Journal of Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Experimental Mathematics 2 Advances in Applied Clifford Algebras 2 Filomat 2 Revista Matemática Complutense 2 Journal of High Energy Physics 2 Advances in Geometry 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 Journal of Mathematical Physics, Analysis, Geometry 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Tamkang Journal of Mathematics 1 Tokyo Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Discrete & Computational Geometry 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Chinese Science Bulletin 1 Journal of Knot Theory and its Ramifications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 Transformation Groups 1 Conformal Geometry and Dynamics 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) ...and 15 more Serials all top 5 Cited in 24 Fields 297 Differential geometry (53-XX) 82 Global analysis, analysis on manifolds (58-XX) 76 Manifolds and cell complexes (57-XX) 32 Partial differential equations (35-XX) 20 Functions of a complex variable (30-XX) 18 Several complex variables and analytic spaces (32-XX) 15 Ordinary differential equations (34-XX) 9 Convex and discrete geometry (52-XX) 8 Geometry (51-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Special functions (33-XX) 5 Algebraic geometry (14-XX) 4 Relativity and gravitational theory (83-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) Citations by Year