Edit Profile (opens in new tab) Abresch, Uwe Co-Author Distance Author ID: abresch.uwe Published as: Abresch, Uwe; Abresch, U. Documents Indexed: 20 Publications since 1980, including 2 Books 3 Contributions as Editor Reviewing Activity: 9 Reviews Co-Authors: 16 Co-Authors with 14 Joint Publications 425 Co-Co-Authors all top 5 Co-Authors 9 single-authored 3 Meyer, Wolfgang T. 3 Umehara, Masaaki 2 Dorfmeister, Josef F. 2 Rosenberg, Harold 2 Schröder, Viktor M. H. 1 Bovier, Anton 1 Durán Fernandez, Carlos Eduardo 1 Gromoll, Detlef 1 Langer, Joel C. 1 Lechtenfeld, Olaf 1 Lüling, M. 1 Pedit, Franz J. 1 Püttmann, Thomas 1 Rigas, Alcibiades 1 Rittenberg, Vladimir 1 Weymans, G. all top 5 Serials 4 Journal of Differential Geometry 3 Oberwolfach Reports 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal für die Reine und Angewandte Mathematik 1 Journal of Mathematical Physics 1 Acta Mathematica 1 Mathematische Annalen 1 Journal of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Matemática Contemporânea 1 Bonner Mathematische Schriften all top 5 Fields 22 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 565 times in 492 Documents Cited by ▼ Year ▼ The normalized curve shortening flow and homothetic solutions. Zbl 0592.53002 Abresch, Uwe; Langer, J. 141 1986 A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\). Zbl 1078.53053 Abresch, Uwe; Rosenberg, Harold 111 2004 On complete manifolds with nonnegative Ricci curvature. Zbl 0704.53032 Abresch, Uwe; Gromoll, Detlef 69 1990 Generalized Hopf differentials. Zbl 1118.53036 Abresch, Uwe; Rosenberg, Harold 57 2005 Lower curvature bounds, Toponogov’s theorem, and bounded topology. Zbl 0595.53043 Abresch, Uwe 45 1985 Isoparametric hypersurfaces with four or six distinct principal curvatures. Necessary conditions on the multiplicities. Zbl 0505.53027 Abresch, Uwe 43 1983 Constant mean curvature tori in terms of elliptic functions. Zbl 0597.53003 Abresch, Uwe 32 1987 Lower curvature bounds, Toponogov’s theorem, and bounded topology. II. Zbl 0651.53031 Abresch, Uwe 14 1987 Injectivity radius estimates and sphere theorems. Zbl 0888.53001 Abresch, Uwe; Meyer, Wolfgang T. 13 1997 Wiedersehen metrics and exotic involutions of Euclidean spheres. Zbl 1125.57017 Abresch, U.; Durán, C.; Püttmann, T.; Rigas, A. 8 2007 A sphere theorem with a pinching constant below \({1\over 4}\). Zbl 0873.53024 Abresch, Uwe; Meyer, Wolfgang T. 8 1996 Graph manifolds, ends of negatively curved spaces and the hyperbolic 120- cell space. Zbl 0777.53035 Abresch, Uwe; Schroeder, Viktor 7 1992 Pinching below \(1\over 4\), injectivity radius, and conjugate radius. Zbl 0813.53026 Abresch, Uwe; Meyer, Wolfgang T. 5 1994 On smoothing of Riemannian metrics. (Über das Glätten Riemann’scher Metriken.) Zbl 1083.53501 Abresch, Uwe 4 1988 Finite nonabelian subgroups of \(SU(n)\) with analytic expressions for the irreducible representations and the Clebsch-Gordan coefficients. Zbl 0453.22007 Abresch, Uwe; Bovier, A.; Lechtenfeld, O.; Lüling, M.; Rittenberg, V.; Weymans, G. 3 1980 Old and new doubly periodic solutions of the Sinh-Gordon equation. Zbl 0635.35029 Abresch, Uwe 2 1987 Notwendige Bedingungen für isoparametrische Hyperflächen in Sphären mit mehr als drei verschiedenen Hauptkrümmungen. Zbl 0505.53028 Abresch, Uwe 2 1983 Analytic manifolds of nonpositive curvature. Zbl 0881.53027 Abresch, Uwe; Schroeder, Viktor 1 1996 Wiedersehen metrics and exotic involutions of Euclidean spheres. Zbl 1125.57017 Abresch, U.; Durán, C.; Püttmann, T.; Rigas, A. 8 2007 Generalized Hopf differentials. Zbl 1118.53036 Abresch, Uwe; Rosenberg, Harold 57 2005 A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\). Zbl 1078.53053 Abresch, Uwe; Rosenberg, Harold 111 2004 Injectivity radius estimates and sphere theorems. Zbl 0888.53001 Abresch, Uwe; Meyer, Wolfgang T. 13 1997 A sphere theorem with a pinching constant below \({1\over 4}\). Zbl 0873.53024 Abresch, Uwe; Meyer, Wolfgang T. 8 1996 Analytic manifolds of nonpositive curvature. Zbl 0881.53027 Abresch, Uwe; Schroeder, Viktor 1 1996 Pinching below \(1\over 4\), injectivity radius, and conjugate radius. Zbl 0813.53026 Abresch, Uwe; Meyer, Wolfgang T. 5 1994 Graph manifolds, ends of negatively curved spaces and the hyperbolic 120- cell space. Zbl 0777.53035 Abresch, Uwe; Schroeder, Viktor 7 1992 On complete manifolds with nonnegative Ricci curvature. Zbl 0704.53032 Abresch, Uwe; Gromoll, Detlef 69 1990 On smoothing of Riemannian metrics. (Über das Glätten Riemann’scher Metriken.) Zbl 1083.53501 Abresch, Uwe 4 1988 Constant mean curvature tori in terms of elliptic functions. Zbl 0597.53003 Abresch, Uwe 32 1987 Lower curvature bounds, Toponogov’s theorem, and bounded topology. II. Zbl 0651.53031 Abresch, Uwe 14 1987 Old and new doubly periodic solutions of the Sinh-Gordon equation. Zbl 0635.35029 Abresch, Uwe 2 1987 The normalized curve shortening flow and homothetic solutions. Zbl 0592.53002 Abresch, Uwe; Langer, J. 141 1986 Lower curvature bounds, Toponogov’s theorem, and bounded topology. Zbl 0595.53043 Abresch, Uwe 45 1985 Isoparametric hypersurfaces with four or six distinct principal curvatures. Necessary conditions on the multiplicities. Zbl 0505.53027 Abresch, Uwe 43 1983 Notwendige Bedingungen für isoparametrische Hyperflächen in Sphären mit mehr als drei verschiedenen Hauptkrümmungen. Zbl 0505.53028 Abresch, Uwe 2 1983 Finite nonabelian subgroups of \(SU(n)\) with analytic expressions for the irreducible representations and the Clebsch-Gordan coefficients. Zbl 0453.22007 Abresch, Uwe; Bovier, A.; Lechtenfeld, O.; Lüling, M.; Rittenberg, V.; Weymans, G. 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 546 Authors 11 Cheng, Qingming 11 Mira, Pablo 9 Gálvez, Jose Antonio 9 Rosenberg, Harold 8 Fetcu, Dorel 8 Wei, Guoxin 7 Korpinar, Talat 7 Wang, Xiaoliu 7 Wei, Guofang 6 Fernández, Isabel 6 Hauswirth, Laurent 6 Tang, Zizhou 5 Aledo, Juan Ángel 5 Bueno, Antonio 5 Espinar, José María 5 Kondo, Kei-Ichi 5 Li, Xingxiao 5 Mantegazza, Carlo 5 Sá Earp, Ricardo 5 Torralbo, Francisco 5 Tsai, Dong-Ho 4 Abresch, Uwe 4 Cho, Joseph 4 Colding, Tobias Holck 4 Daniel, Benoît 4 de Lira, Jorge Herbert Soares 4 do Carmo, Manfredo Perdigão 4 Domínguez-Vázquez, Miguel 4 Fang, Fuquan 4 López Camino, Rafael 4 Miyaoka, Reiko 4 Pérez Muñoz, Joaquín 4 Petersen, Peter V 4 Qu, Changzheng 4 Shen, Zhongmin 4 Siffert, Anna 4 Tenenblat, Keti 4 Turhan, Essin 4 Urbano, Francisco 4 Wheeler, Glen E. 4 Yan, Wenjiao 3 Alencar, Hilário 3 Alías, Luis J. 3 Anciaux, Henri 3 Anderson, Michael T. 3 Angenent, Sigurd Bernardus 3 Baldi, Pietro 3 Bobenko, Alexander Ivanovich 3 de Almeida Cavalcante, Marcos Petrúcio 3 Chen, Qun 3 De Lima, Ronaldo Freire 3 Dos Santos, Fábio Reis 3 Drugan, Gregory 3 Durán Fernandez, Carlos Eduardo 3 Haus, Emanuele 3 Inoguchi, Jun-ichi 3 Jiang, Huihong 3 Kobayashi, Shimpei 3 Lee, Hojoo 3 Li, Haizhong 3 Liu, Yangyang 3 Lozano, Victorino 3 Ma, Hui 3 Ma, John Man Shun 3 Manzano, José Miguel 3 Mao, Jing 3 Meeks, William Hamilton III 3 Munn, Michael 3 Nelli, Barbara 3 Ogata, Yuta 3 Oniciuc, Cezar 3 Bessa, Gregório Pacelli 3 Qiao, Ruina 3 Silva Neto, Gregório 3 Tanaka, Minoru 3 Toubiana, Eric 3 Trejos, Haimer A. 3 Xie, Yuquan 3 Xu, Hongwei 3 Yang, Yi-Hu 3 Yang, Yun 3 Zhang, Yuntao 3 Zhou, Detang 2 Albujer, Alma L. 2 Azami, Shahroud 2 Batista, Márcio 2 Belegradek, Igor 2 Bovier, Anton 2 Buzano, Reto 2 Cai, Mingliang 2 Castro, Ildefonso 2 Chang, Jui-En 2 Chen, Xinfu 2 Chen, Xiuxiong 2 Cui, Qing 2 da Silva, Fábio Nunes 2 Dai, Xianzhe 2 Dajczer, Marcos 2 Dillen, Franki 2 Ding, Qi ...and 446 more Authors all top 5 Cited in 130 Serials 30 Transactions of the American Mathematical Society 26 The Journal of Geometric Analysis 22 Proceedings of the American Mathematical Society 22 Differential Geometry and its Applications 22 Calculus of Variations and Partial Differential Equations 15 Mathematische Annalen 15 Mathematische Zeitschrift 13 Annals of Global Analysis and Geometry 11 Geometriae Dedicata 11 Journal für die Reine und Angewandte Mathematik 11 Tôhoku Mathematical Journal. Second Series 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Advances in Mathematics 9 Journal of Functional Analysis 9 Results in Mathematics 9 Science China. Mathematics 8 Journal of Mathematical Analysis and Applications 8 Journal of Differential Equations 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Duke Mathematical Journal 6 Journal of Geometry and Physics 6 Illinois Journal of Mathematics 6 Manuscripta Mathematica 6 Journal of the American Mathematical Society 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Revista Matemática Iberoamericana 5 Bulletin of the American Mathematical Society. New Series 4 Israel Journal of Mathematics 4 Inventiones Mathematicae 4 Michigan Mathematical Journal 4 Pacific Journal of Mathematics 4 Acta Mathematica Sinica. English Series 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Archive for Rational Mechanics and Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Physics 3 Archiv der Mathematik 3 Journal of Differential Geometry 3 Journal of Geometry 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Chinese Annals of Mathematics. Series B 3 International Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Mediterranean Journal of Mathematics 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Beiträge zur Algebra und Geometrie 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Journal of Soviet Mathematics 2 Nagoya Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Topology and its Applications 2 Physica D 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Geometry & Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Journal of Topology and Analysis 2 Analysis and Geometry in Metric Spaces 2 Geometric Flows 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Anais da Academia Brasileira de Ciências 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Forum Mathematicum 1 Science in China. Series A 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) ...and 30 more Serials all top 5 Cited in 34 Fields 456 Differential geometry (53-XX) 74 Partial differential equations (35-XX) 47 Global analysis, analysis on manifolds (58-XX) 25 Manifolds and cell complexes (57-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 5 Fluid mechanics (76-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Relativity and gravitational theory (83-XX) 3 Algebraic geometry (14-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Mechanics of deformable solids (74-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year