Edit Profile (opens in new tab) Umehara, Masaaki Co-Author Distance Author ID: umehara.masaaki Published as: Umehara, Masaaki; Umehara, M. Homepage: http://www.is.titech.ac.jp/~umehara/ Documents Indexed: 131 Publications since 1986, including 3 Books and 4 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 47 Co-Authors with 119 Joint Publications 462 Co-Co-Authors all top 5 Co-Authors 14 single-authored 94 Yamada, Kotaro 28 Rossman, Wayne 20 Saji, Kentaro 18 Kokubu, Masatoshi 14 Fujimori, Shoichi 14 Honda, Atsufumi 11 Naokawa, Kosuke 8 Yang, Seong-Deog 6 Kawakami, Yu 6 Martín, Francisco 5 Akamine, Shintaro 5 Thorbergsson, Gudlaugur 4 Kato, Shin 4 Kim, Young Wook 4 Koh, Sung-Eun 4 Shin, Heayong 3 Abresch, Uwe 3 Kitagawa, Yoshihisa 2 Ando, Naoya 2 Dorfmeister, Josef F. 2 Hasegawa, Masaru 2 Hertrich-Jeromin, Udo J. 2 Tasaki, Hiroyuki 1 Aiyama, Reiko 1 Akutagawa, Kazuo 1 Bobenko, Alexander Ivanovich 1 Enomoto, Kazuyuki 1 Ferrer, Leonor 1 Fijimori, Shoichi 1 Fujiyama, Toshifumi 1 Gounai, Hiro 1 Ki, U-Hang 1 Kobayashi, Osamu 1 Koiso, Miyuki 1 Kurono, Yasuhiro 1 Liu, Huili 1 Martins, Luciana F. 1 McCune, Catherine 1 Miyaoka, Reiko 1 Murata, Satoko 1 Nakagawa, Hisao 1 Ohno, Shuntaro 1 Ozawa, Tetsuya 1 Pedit, Franz J. 1 Shiba, Shohei 1 Suyama, Yoshihiko 1 Takahashi, Masaro all top 5 Serials 6 Osaka Journal of Mathematics 6 Proceedings of the American Mathematical Society 6 Tôhoku Mathematical Journal. Second Series 4 Journal of the Mathematical Society of Japan 4 Pacific Journal of Mathematics 4 Differential Geometry and its Applications 3 Geometriae Dedicata 3 Hiroshima Mathematical Journal 3 Kodai Mathematical Journal 3 Nagoya Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Tsukuba Journal of Mathematics 3 Journal of Knot Theory and its Ramifications 3 Oberwolfach Reports 3 Electronic Geometry Model 2 Beiträge zur Algebra und Geometrie 2 Bulletin of the London Mathematical Society 2 Hokkaido Mathematical Journal 2 Mathematical Journal of Okayama University 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 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 of Differential Geometry 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Japanese Journal of Mathematics. New Series 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Science Reports 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Sūgaku 1 Revista Matemática Iberoamericana 1 Sugaku Expositions 1 International Journal of Mathematics 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 RIMS Kokyuroku 1 The Quarterly Journal of Mathematics 1 Seminar on Mathematical Sciences 1 Kyoto Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 Series in Algebraic and Differential Geometry all top 5 Fields 130 Differential geometry (53-XX) 26 Manifolds and cell complexes (57-XX) 12 Partial differential equations (35-XX) 12 Global analysis, analysis on manifolds (58-XX) 6 Geometry (51-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 1,189 times in 423 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 surfaces with singularities in Euclidean 3-space. Zbl 1184.53015 Murata, Satoko; Umehara, Masaaki 35 2009 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 Einstein Kaehler submanifolds of a complex linear or hyperbolic space. Zbl 0648.53031 Umehara, Masaaki 18 1987 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 Kaehler submanifolds of complex space forms. Zbl 0679.53016 Umehara, M. 15 1987 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 Sextactic points on a simple closed curve. Zbl 1088.53049 Thorbergsson, Gudlaugur; Umehara, Masaaki 13 2002 The behavior of curvature functions at cusps and inflection points. Zbl 1250.53005 Shiba, Shohei; Umehara, Masaaki 12 2012 Diastases and real analytic functions on complex manifolds. Zbl 0651.53046 Umehara, Masaaki 11 1988 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 Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature. Zbl 1156.53007 Kurono, Yasuhiro; Umehara, Masaaki 10 2008 Asymptotic behavior of flat surfaces in hyperbolic 3-space. Zbl 1177.53059 Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 10 2009 Extrinsic diameter of immersed flat tori in \(S^3\). Zbl 1262.53049 Kitagawa, Yoshihisa; Umehara, Masaaki 10 2011 Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces. Zbl 1235.53063 Kokubu, Masatoshi; Umehara, Masaaki 9 2011 \(A_{2}\)-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 A characterization of compact surfaces with constant mean curvature. Zbl 0689.53033 Umehara, Masaaki 9 1990 A unified approach to the four vertex theorems. I. Zbl 1068.53005 Umehara, Masaaki 9 1999 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 unified approach to the four vertex theorems. II. Zbl 1068.53004 Thorbergsson, Gudlaugur; Umehara, Masaaki 8 1999 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 6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus. Zbl 0806.53002 Umehara, Masaaki 6 1994 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 global theory of flexes of periodic functions. Zbl 1066.51007 Thorbergsson, Gudlaugur; Umehara, Masaaki 5 2004 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 Inflection points and double tangents on anti-convex curves in the real projective plane. Zbl 1152.53009 Thorbergsson, Gudlaugur; Umehara, 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 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 Geometry of scrolls. Zbl 0869.57013 Kobayashi, Osamu; Umehara, Masaaki 3 1996 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 simplification of the proof of Bol’s conjecture on sextactic points. Zbl 1232.53020 Umehara, Masaaki 3 2011 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 On complete hypersurfaces with harmonic curvature in a Riemannian manifold of constant curvature. Zbl 0631.53044 Ki, U-Hang; Nakagawa, Hisao; Umehara, Masaaki 2 1987 A global correspondence between CMC-surfaces in \(S^3\) and pairs of non-conformal harmonic maps into \(S^2\). Zbl 0969.53032 Aiyama, R.; Akutagawa, K.; Miyaoka, R.; Umehara, M. 2 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 Another construction of a CMC-1 surface in \(H^3\). Zbl 1004.53043 Umehara, Masaaki; Yamada, Kotaro 2 1996 Hypersurfaces with harmonic curvature. Zbl 0602.53017 Umehara, Masaaki 2 1986 An invariant on 3-dimensional Lie algebras. Zbl 0758.17003 Tasaki, Hiroyuki; Umehara, Masaaki 2 1992 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 \(C^1\)-umbilics with arbitrarily high indices. Zbl 1370.53005 Ando, Naoya; Fujiyama, Toshifumi; Umehara, Masaaki 2 2017 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 Monodromy of isometric deformations of CMC surfaces. Zbl 1026.53037 Bobenko, A. I.; Umehara, M. 1 2001 Deformations of Lie groups and their application to surface theory. Zbl 1005.53007 Umehara, Masaaki; Yamada, Kotaro 1 1993 An analogue of the UP-iteration for constant mean curvature one surfaces in hyperbolic 3-space. Zbl 1088.53003 McCune, Catherine; Umehara, Masaaki 1 2004 Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. Zbl 1100.53051 Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro 1 2005 A computation of the basic invariant \(J^ +\) for closed 2-vertex curves. Zbl 0878.57026 Umehara, Masaaki 1 1997 General existence of minimal surfaces with prescribed flux. II. Zbl 1090.53500 Kato, S.; Umehara, M.; Yamada, K. 1 1997 Caustics of convex curves. Zbl 1321.53006 Gounai, Hiro; Umehara, Masaaki 1 2014 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 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 \(C^1\)-umbilics with arbitrarily high indices. Zbl 1370.53005 Ando, Naoya; Fujiyama, Toshifumi; Umehara, Masaaki 2 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 Caustics of convex curves. Zbl 1321.53006 Gounai, Hiro; Umehara, Masaaki 1 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 Closed planar curves without inflections. Zbl 1271.53002 Ohno, Shuntaro; Ozawa, Tetsuya; Umehara, Masaaki 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 The behavior of curvature functions at cusps and inflection points. Zbl 1250.53005 Shiba, Shohei; Umehara, Masaaki 12 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 Extrinsic diameter of immersed flat tori in \(S^3\). Zbl 1262.53049 Kitagawa, Yoshihisa; Umehara, Masaaki 10 2011 Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces. Zbl 1235.53063 Kokubu, Masatoshi; Umehara, Masaaki 9 2011 \(A_{2}\)-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 A simplification of the proof of Bol’s conjecture on sextactic points. Zbl 1232.53020 Umehara, Masaaki 3 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 Flat surfaces with singularities in Euclidean 3-space. Zbl 1184.53015 Murata, Satoko; Umehara, Masaaki 35 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 Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature. Zbl 1156.53007 Kurono, Yasuhiro; Umehara, Masaaki 10 2008 Inflection points and double tangents on anti-convex curves in the real projective plane. Zbl 1152.53009 Thorbergsson, Gudlaugur; Umehara, Masaaki 5 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 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 A global theory of flexes of periodic functions. Zbl 1066.51007 Thorbergsson, Gudlaugur; Umehara, Masaaki 5 2004 An analogue of the UP-iteration for constant mean curvature one surfaces in hyperbolic 3-space. Zbl 1088.53003 McCune, Catherine; Umehara, Masaaki 1 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 Sextactic points on a simple closed curve. Zbl 1088.53049 Thorbergsson, Gudlaugur; Umehara, Masaaki 13 2002 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 Monodromy of isometric deformations of CMC surfaces. Zbl 1026.53037 Bobenko, A. I.; Umehara, M. 1 2001 Metrics of constant curvature 1 with three conical singularities on the 2-sphere. Zbl 0958.30029 Umehara, Masaaki; Yamada, Kotaro 26 2000 A global correspondence between CMC-surfaces in \(S^3\) and pairs of non-conformal harmonic maps into \(S^2\). Zbl 0969.53032 Aiyama, R.; Akutagawa, K.; Miyaoka, R.; Umehara, M. 2 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 A unified approach to the four vertex theorems. I. Zbl 1068.53005 Umehara, Masaaki 9 1999 A unified approach to the four vertex theorems. II. Zbl 1068.53004 Thorbergsson, Gudlaugur; Umehara, Masaaki 8 1999 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 A computation of the basic invariant \(J^ +\) for closed 2-vertex curves. Zbl 0878.57026 Umehara, Masaaki 1 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 Geometry of scrolls. Zbl 0869.57013 Kobayashi, Osamu; Umehara, Masaaki 3 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 6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus. Zbl 0806.53002 Umehara, Masaaki 6 1994 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 An invariant on 3-dimensional Lie algebras. Zbl 0758.17003 Tasaki, Hiroyuki; Umehara, Masaaki 2 1992 Deformations of symmetric spaces of compact type to their noncompact duals. Zbl 0771.53031 Tasaki, Hiroyuki; Umehara, Masaaki; Yamada, Kotaro 3 1991 A characterization of compact surfaces with constant mean curvature. Zbl 0689.53033 Umehara, Masaaki 9 1990 Diastases and real analytic functions on complex manifolds. Zbl 0651.53046 Umehara, Masaaki 11 1988 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 365 Authors 54 Umehara, Masaaki 39 Yamada, Kotaro 36 Saji, Kentaro 20 Rossman, Wayne 19 Honda, Atsufumi 15 Teramoto, Keisuke 13 Alarcón, Antonio 13 Izumiya, Shyuichi 13 Takahashi, Masatomo 12 Kokubu, Masatoshi 11 Fujimori, Shoichi 11 Naokawa, Kosuke 11 Yang, Seong-Deog 10 Gálvez, Jose Antonio 10 Mira, Pablo 9 Akamine, Shintaro 9 Loi, Andrea 9 Lopez Fernandez, Francisco Jose 9 Oset Sinha, Raúl 8 Hertrich-Jeromin, Udo J. 8 Kawakami, Yu 7 Fernández, Isabel 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 Ogata, Yuta 5 Pei, Donghe 5 Shin, Heayong 5 Tari, Farid 5 Wang, Changping 5 Yasumoto, Masashi 5 Yuan, Yuan 4 Aiyama, Reiko 4 Benedini Riul, Pedro 4 Ghomi, Mohammad 4 Hasegawa, Masaru 4 Huang, Xiaojun 4 Kumar, Pradip 4 Martín, Francisco 4 Musso, Emilio 4 Roitman, Pedro 4 Salis, Filippo 4 Sasaki, Takeshi 4 Tenenblat, Keti 4 Thorbergsson, Gudlaugur 4 Wang, Xiaozhen 4 Xiao, Ming 4 Xie, Zhenxiao 4 Yildirim, Handan 4 Yoshida, Masaaki 3 Akutagawa, Kazuo 3 Bettiol, Renato G. 3 Burstall, Francis Everett 3 Chen, Liang 3 Cheng, Xiaoliang 3 Cho, Joseph 3 Corro, Armando Mauro Vasquez 3 Daniel, Benoît 3 Kabata, Yutaro 3 Kamel, Alwaleed 3 Kato, Shin 3 Kitagawa, Yoshihisa 3 Mossa, Roberto 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 Ando, Naoya 2 Butscher, Adrian 2 Cappelletti Montano, Beniamino 2 Chen, Jianhua 2 Chen, Qing 2 Chen, Weihuan 2 Chen, Yichao 2 Craizer, Marcos 2 Di Scala, Antonio Jose 2 Elshareef, Waleed Khaled 2 Fosdick, Roger L. 2 Fried, Eliot 2 Fujino, Hiroki 2 Fukui, Toshizumi 2 Gao, Ruihua 2 Georgiou, Nikos 2 Globevnik, Josip 2 Guilfoyle, Brendan S. 2 Hamada, Kohei ...and 265 more Authors all top 5 Cited in 134 Serials 24 Tôhoku Mathematical Journal. Second Series 21 Differential Geometry and its Applications 15 The Journal of Geometric Analysis 13 Journal of Geometry and Physics 13 Journal of Geometry 11 Journal of Mathematical Analysis and Applications 10 Osaka Journal of Mathematics 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 10 International Journal of Mathematics 9 Geometriae Dedicata 9 Journal of the Mathematical Society of Japan 9 Annals of Global Analysis and Geometry 9 Journal of Singularities 8 Advances in Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Mathematische Zeitschrift 8 Calculus of Variations and Partial Differential Equations 7 Results in Mathematics 7 Bulletin of the Brazilian Mathematical Society. New Series 6 Beiträge zur Algebra und Geometrie 6 Mathematische Annalen 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Manuscripta Mathematica 5 Proceedings of the Japan Academy. 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RACSAM 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Discrete Mathematics 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 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Michigan Mathematical Journal 1 Tamkang Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Computer Aided Geometric Design 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 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 34 more Serials all top 5 Cited in 29 Fields 363 Differential geometry (53-XX) 89 Global analysis, analysis on manifolds (58-XX) 83 Manifolds and cell complexes (57-XX) 39 Several complex variables and analytic spaces (32-XX) 32 Partial differential equations (35-XX) 20 Functions of a complex variable (30-XX) 14 Ordinary differential equations (34-XX) 14 Convex and discrete geometry (52-XX) 12 Geometry (51-XX) 10 Algebraic geometry (14-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Special functions (33-XX) 5 Number theory (11-XX) 5 Mechanics of deformable solids (74-XX) 4 Potential theory (31-XX) 4 Numerical analysis (65-XX) 4 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year