Edit Profile (opens in new tab) Perel’man, Grigoriĭ Yakovlevich Compute Distance To: Compute Author ID: perelman.grigori-yakovlevich Published as: Perel’man, G. Ya.; Perelman, Grisha; Perelman, G.; Perel’man, G. Further Spellings: Перельман Григорий Яковлевич External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: EMS Prize (1996) · Fields Medal (2006) Documents Indexed: 22 Publications since 1985 Biographic References: 7 Publications Co-Authors: 4 Co-Authors with 3 Joint Publications 147 Co-Co-Authors Co-Authors 19 single-authored 1 Burago, Yuriĭ Dmitrievich 1 Gromov, Mikhael Leonidovich 1 Petrunin, Anton Mikhailovich 1 Polikanova, Irina Viktorovna all top 5 Serials 3 arXiv e-print service 2 Journal of Soviet Mathematics 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Ukrainskiĭ Geometricheskiĭ Sbornik 2 St. Petersburg Mathematical Journal 1 Russian Mathematical Surveys 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Siberian Mathematical Journal 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA Fields 18 Differential geometry (53-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 1,592 times in 1,080 Documents Cited by ▼ Year ▼ The entropy formula for the Ricci flow and its geometric applications. Zbl 1130.53001Perelman, Grisha 777 2002 Ricci flow with surgery on three-manifolds. Zbl 1130.53002Perelman, Grisha 356 2003 Finite extinction time for the solutions to the Ricci flow on certain three-manifolds. Zbl 1130.53003Perelman, Grisha 207 2003 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 61 1992 Proof of the soul conjecture of Cheeger and Gromoll. Zbl 0818.53056Perelman, Grisha 41 1994 Manifolds of positive Ricci curvature with almost maximal volume. Zbl 0799.53050Perelman, Grisha 30 1994 Spaces with curvature bounded below. Zbl 0838.53033Perelman, Grisha 27 1995 Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers. Zbl 0890.53038Perelman, G. 26 1997 Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem. Zbl 0802.53019Perel’man, G. Ya.; Petrunin, A. M. 18 1993 A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone. Zbl 0887.53038Perelman, G. 14 1997 Elements of Morse theory on Aleksandrov spaces. Zbl 0815.53072Perel’man, G. Ya. 12 1993 A diameter sphere theorem for manifolds of positive Ricci curvature. Zbl 0831.53033Perelman, Grisha 7 1995 Collapsing with no proper extremal subsets. Zbl 0887.53049Perelman, Grisha 5 1997 On the k-radii of a convex body. Zbl 0623.52007Perel’man, G. Ya. 4 1987 Widths of nonnegatively curved spaces. Zbl 0845.53031Perelman, Grisha 2 1995 On the k radii of a convex body. Zbl 0637.52009Perel’man, G. Ya. 2 1987 Example of a complete saddle surface in \(R^ 4\) with Gaussian curvature bounded away from zero. Zbl 0741.53037Perel’man, G. Ya. 1 1989 An example of a complete saddle surface in \(R^ 4\) with Gaussian curvature different from zero. Zbl 0714.53035Perel’man, G. Ya. 1 1989 A remark on the Helly theorem. Zbl 0615.52009Polikanova, I. V.; Perel’man, G. Ya. 1 1986 Ricci flow with surgery on three-manifolds. Zbl 1130.53002Perelman, Grisha 356 2003 Finite extinction time for the solutions to the Ricci flow on certain three-manifolds. Zbl 1130.53003Perelman, Grisha 207 2003 The entropy formula for the Ricci flow and its geometric applications. Zbl 1130.53001Perelman, Grisha 777 2002 Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers. Zbl 0890.53038Perelman, G. 26 1997 A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone. Zbl 0887.53038Perelman, G. 14 1997 Collapsing with no proper extremal subsets. Zbl 0887.53049Perelman, Grisha 5 1997 Spaces with curvature bounded below. Zbl 0838.53033Perelman, Grisha 27 1995 A diameter sphere theorem for manifolds of positive Ricci curvature. Zbl 0831.53033Perelman, Grisha 7 1995 Widths of nonnegatively curved spaces. Zbl 0845.53031Perelman, Grisha 2 1995 Proof of the soul conjecture of Cheeger and Gromoll. Zbl 0818.53056Perelman, Grisha 41 1994 Manifolds of positive Ricci curvature with almost maximal volume. Zbl 0799.53050Perelman, Grisha 30 1994 Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem. Zbl 0802.53019Perel’man, G. Ya.; Petrunin, A. M. 18 1993 Elements of Morse theory on Aleksandrov spaces. Zbl 0815.53072Perel’man, G. Ya. 12 1993 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 61 1992 Example of a complete saddle surface in \(R^ 4\) with Gaussian curvature bounded away from zero. Zbl 0741.53037Perel’man, G. Ya. 1 1989 An example of a complete saddle surface in \(R^ 4\) with Gaussian curvature different from zero. Zbl 0714.53035Perel’man, G. Ya. 1 1989 On the k-radii of a convex body. Zbl 0623.52007Perel’man, G. Ya. 4 1987 On the k radii of a convex body. Zbl 0637.52009Perel’man, G. Ya. 2 1987 A remark on the Helly theorem. Zbl 0615.52009Polikanova, I. V.; Perel’man, G. Ya. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 986 Authors 22 Wu, Jiayong 20 Ma, Li 15 Wang, Linfeng 14 Brendle, Simon 14 Cao, Huai-Dong 13 Guo, Hongxin 13 Lu, Peng 13 Tian, Gang 12 Abolarinwa, Abimbola 12 Lott, John 11 Azami, Shahroud 11 Catino, Giovanni 10 Cao, Xiaodong 10 Chow, Bennett 10 Wang, Bing 9 Chen, Xiuxiong 9 Galaz-Garcia, Fernando 9 Li, Xiang-Dong 9 Streets, Jeffrey D. 9 Vacaru, Sergiu Ion 9 Zhang, Yongjia 9 Zhang, Zhenlei 9 Zhu, Anqiang 9 Zhu, Xiaohua 8 Bamler, Richard H. 8 Cheng, Liang 8 Fang, Shouwen 8 Rong, Xiaochun 8 Searle, Catherine 7 Carfora, Mauro 7 Colding, Tobias Holck 7 Fang, Fuquan 7 Guijarro, Luis 7 Haslhofer, Robert 7 Honda, Shouhei 7 Ni, Lei 7 Sesum, Natasa 7 Ye, Rugang 7 Zheng, Yu 7 Zhu, Meng 6 Hsu, Shu-Yu 6 Lackenby, Marc 6 Lee, Man-Chun 6 Mastrolia, Paolo 6 Petersen, Peter V 6 Philipowski, Robert 6 Topping, Peter Miles 6 Wei, Guofang 6 Wylie, William C. 6 Zhang, Liangdi 5 Besson, Gérard 5 Chen, Chih-Wei 5 Cho, Jong Taek 5 Deng, Yuxing 5 Ghosh, Amalendu 5 Hall, Stuart James 5 Harvey, John Matthew 5 Hou, Songbo 5 Huang, Shaosai 5 Hui, Shyamal Kumar 5 Kapovitch, Vitali 5 Mantegazza, Carlo 5 Munn, Michael 5 Munteanu, Ovidiu 5 Sarkar, Avijit 5 Sinestrari, Carlo 5 Song, Jian 5 Suh, Young Jin 5 Tam, Luen-Fai 5 Yamaguchi, Takao 5 Yu, Chengjie 5 Zhang, Qi-Shuhuason 5 Zhang, Yuguang 4 Agol, Ian 4 Barbosa, Ezequiel R. 4 Cabezas-Rivas, Esther 4 Chaubey, Sudhakar Kumar 4 Chen, Qiang 4 Huisken, Gerhard 4 Ishida, Masashi 4 Kimura, Makoto 4 Kleiner, Bruce 4 Lytchak, Alexander 4 Maillot, Sylvain 4 Minicozzi, William Philip II 4 Naber, Aaron C. 4 Ribeiro, Ernani jun. 4 Sharma, Ramesh 4 Shioya, Takashi 4 Thalmaier, Anton 4 Walschap, Gerard 4 Wang, Changliang 4 Wang, Jiaping 4 Wang, Yusheng 4 Wraith, David J. 4 Xu, Guoyi 4 Xu, Shicheng 4 Yang, Fei 4 Zhang, Shijin 4 Zhu, Peng ...and 886 more Authors all top 5 Cited in 221 Serials 68 The Journal of Geometric Analysis 52 Proceedings of the American Mathematical Society 35 Annals of Global Analysis and Geometry 35 Calculus of Variations and Partial Differential Equations 32 Geometriae Dedicata 31 Advances in Mathematics 30 Mathematische Annalen 30 Transactions of the American Mathematical Society 28 Journal of Geometry and Physics 24 Geometry & Topology 21 Inventiones Mathematicae 21 Journal of Functional Analysis 20 Differential Geometry and its Applications 19 Duke Mathematical Journal 16 Journal für die Reine und Angewandte Mathematik 16 Mathematische Zeitschrift 16 Science China. Mathematics 12 Communications in Mathematical Physics 12 Journal of Mathematical Analysis and Applications 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Manuscripta Mathematica 11 Algebraic & Geometric Topology 10 Journal of the American Mathematical Society 10 Geometric and Functional Analysis. GAFA 10 Journal of the European Mathematical Society (JEMS) 9 Results in Mathematics 9 Acta Mathematica Sinica. English Series 9 Journal of High Energy Physics 9 Advances in Geometry 8 Nuclear Physics. B 8 Archiv der Mathematik 8 Monatshefte für Mathematik 8 Tohoku Mathematical Journal. Second Series 8 Annals of Mathematics. Second Series 8 Frontiers of Mathematics in China 7 Communications on Pure and Applied Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Chinese Annals of Mathematics. Series B 7 International Journal of Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 Mediterranean Journal of Mathematics 6 Journal of Mathematical Physics 6 Journal of the Korean Mathematical Society 6 Topology and its Applications 6 Discrete & Computational Geometry 6 Communications of the Korean Mathematical Society 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Communications in Mathematics and Statistics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Annals of Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Bulletin of the Brazilian Mathematical Society. New Series 4 General Relativity and Gravitation 4 Letters in Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Differential Equations 4 Journal of Geometry 4 Journal of the Mathematical Society of Japan 4 Osaka Journal of Mathematics 4 Russian Mathematics 4 Potential Analysis 4 Bulletin des Sciences Mathématiques 3 Archive for Rational Mechanics and Analysis 3 Classical and Quantum Gravity 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Beiträge zur Algebra und Geometrie 3 Acta Mathematica 3 Bulletin of the London Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Revista Matemática Iberoamericana 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Conformal Geometry and Dynamics 3 Journal of Inequalities and Applications 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 Journal of Topology 3 Japanese Journal of Mathematics. 3rd Series 3 Bulletin of Mathematical Sciences 3 Analysis and Geometry in Metric Spaces 3 Korean Journal of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Reports on Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Canadian Mathematical Bulletin 2 Journal of Differential Geometry 2 Journal of Pure and Applied Algebra 2 Kodai Mathematical Journal 2 Kyungpook Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 Bulletin of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society ...and 121 more Serials all top 5 Cited in 53 Fields 873 Differential geometry (53-XX) 223 Global analysis, analysis on manifolds (58-XX) 171 Partial differential equations (35-XX) 165 Manifolds and cell complexes (57-XX) 55 Relativity and gravitational theory (83-XX) 48 Several complex variables and analytic spaces (32-XX) 31 Quantum theory (81-XX) 26 Group theory and generalizations (20-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Probability theory and stochastic processes (60-XX) 23 Convex and discrete geometry (52-XX) 19 Algebraic geometry (14-XX) 16 Geometry (51-XX) 14 Combinatorics (05-XX) 11 Functional analysis (46-XX) 10 General topology (54-XX) 10 Algebraic topology (55-XX) 9 Functions of a complex variable (30-XX) 8 Computer science (68-XX) 7 Topological groups, Lie groups (22-XX) 7 Potential theory (31-XX) 6 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Measure and integration (28-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.