Edit Profile (opens in new tab) Calabi, Eugenio Compute Distance To: Compute Author ID: calabi.eugenio Published as: Calabi, Eugenio; Calabi, E. Homepage: https://www.math.upenn.edu/people/eugenio-calabi External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 46 Publications since 1951, including 1 Book 2 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 24 Co-Authors with 19 Joint Publications 776 Co-Co-Authors all top 5 Co-Authors 30 single-authored 3 Bourguignon, Jean-Pierre 3 Vesentini, Edoardo 2 Chen, Xiuxiong 2 Yau, Shing-Tung 1 Aeppli, Alfred 1 Ahlfors, Lars Valerian 1 Averous, Genevieve 1 Bérard Bergery, Lionel 1 Berger, Marcel 1 Beukers, Frits 1 Cao, Jianguo 1 Deschamps, Annie 1 Donaldson, Simon Kirwan 1 Dvoretzky, Aryeh 1 Eckmann, Beno 1 Eells, James jun. 1 Ezin, Jean-Pierre 1 Gallot, Sylvestre 1 García-Prada, Oscar 1 Gluck, Herman 1 Gromov, Mikhael Leonidovich 1 Hartman, Philip 1 Helffer, Bernard 1 Kolk, Johan A. C. 1 Lawson, Herbert Blaine jun. 1 Markus, Lawrence 1 Morse, Marston 1 Olver, Peter John 1 Polombo, Albert 1 Rohrl, Helmut 1 Rosenlicht, Maxwell 1 Sario, Leo 1 Spencer, Donald Clayton 1 Tannenbaum, Allen Robert 1 Wilf, Herbert S. all top 5 Serials 4 Duke Mathematical Journal 4 Annals of Mathematics. Second Series 3 Journal of Differential Geometry 3 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Annals of Mathematics Studies 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Journal of Combinatorial Theory. Series A 1 Michigan Mathematical Journal 1 Results in Mathematics 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Astérisque 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Princeton Mathematical Series all top 5 Fields 21 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 1,673 times in 1,534 Documents Cited by ▼ Year ▼ Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 212 1953 Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104Calabi, Eugenio 175 1958 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 134 1958 Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504Calabi, Eugenio 133 1967 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 112 1970 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 88 1953 Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056Calabi, E. 76 1978 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 71 1982 On compact, locally symmetric Kähler manifolds. Zbl 0100.36002Calabi, Eugenio; Vesentini, Edoardo 66 1960 Extremal Kähler metrics. II. Zbl 0574.58006Calabi, Eugenio 64 1985 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 50 1958 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 49 1957 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 47 1962 Complete affine hyperspheres . I. Zbl 0252.53008Calabi, Eugenio 46 1972 The space of Kähler metrics. II. Zbl 1067.58010Calabi, E.; Chen, X. X. 40 2002 Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037Calabi, Eugenio 39 1982 On the group of automorphisms of a symplectic manifold. Zbl 0209.25801Calabi, E. 32 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 30 1970 On Ricci curvature and geodesics. Zbl 0153.51501Calabi, Eugenio 22 1967 Linear systems of real quadratic forms. Zbl 0178.35903Calabi, Eugenio 20 1964 Simple closed geodesics on convex surfaces. Zbl 0768.53019Calabi, Eugenio; Cao, Jianguo 18 1992 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 18 1993 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 16 1996 On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102Calabi, Eugenio 16 1961 Convex affine maximal surfaces. Zbl 0653.53006Calabi, Eugenio 15 1988 Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029Calabi, Eugenio 12 1996 On the sequential and random selection of subspaces over a finite field. Zbl 0354.05003Calabi, Eugenio; Wilf, Herbert S. 9 1977 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 8 1993 An intrinsic characterization of harmonic one-forms. Zbl 0194.24701Calabi, Eugenio 7 1969 A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043Calabi, E. 7 1975 Complex analytic manifolds without countable base. Zbl 0052.40601Calabi, Eugenio; Rosenlicht, Maxwell 6 1953 Metric Riemann surfaces. Zbl 0053.05103Calabi, Eugenio 6 1953 Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi (Séminaire Palaiseau, France, March–June 1978). Zbl 0397.35028 4 1978 Isometric families of Kähler structures. Zbl 0453.53048Calabi, Eugenio 4 1980 Linear systems of real quadratic forms. II. Zbl 0496.15017Calabi, Eugenio 3 1982 Affine differential geometry and holomorphic curves. Zbl 0697.53019Calabi, Eugenio 3 1990 Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021Calabi, E. 3 1981 Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003Calabi, Eugenio 3 1966 On differentiable actions of compact Lie groups on compact manifolds. Zbl 0169.53303Calabi, Eugenio 3 1968 Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305 2 1965 The space of Kähler metrics. Zbl 1426.53002Calabi, Eugenio 2 2018 Where does geometry go? A research and education perspective. Zbl 1005.53002Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha 1 2001 Sur les variétés complexes compactes localement symétriques. Zbl 0096.16201Calabi, Eugenio; Vesentini, Edoardo 1 1959 The space of Kähler metrics. Zbl 1426.53002Calabi, Eugenio 2 2018 The space of Kähler metrics. II. Zbl 1067.58010Calabi, E.; Chen, X. X. 40 2002 Where does geometry go? A research and education perspective. Zbl 1005.53002Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha 1 2001 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 16 1996 Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029Calabi, Eugenio 12 1996 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 18 1993 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 8 1993 Simple closed geodesics on convex surfaces. Zbl 0768.53019Calabi, Eugenio; Cao, Jianguo 18 1992 Affine differential geometry and holomorphic curves. Zbl 0697.53019Calabi, Eugenio 3 1990 Convex affine maximal surfaces. Zbl 0653.53006Calabi, Eugenio 15 1988 Extremal Kähler metrics. II. Zbl 0574.58006Calabi, Eugenio 64 1985 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 71 1982 Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037Calabi, Eugenio 39 1982 Linear systems of real quadratic forms. II. Zbl 0496.15017Calabi, Eugenio 3 1982 Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021Calabi, E. 3 1981 Isometric families of Kähler structures. Zbl 0453.53048Calabi, Eugenio 4 1980 Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056Calabi, E. 76 1978 Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi (Séminaire Palaiseau, France, March–June 1978). Zbl 0397.35028 4 1978 On the sequential and random selection of subspaces over a finite field. Zbl 0354.05003Calabi, Eugenio; Wilf, Herbert S. 9 1977 A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043Calabi, E. 7 1975 Complete affine hyperspheres . I. Zbl 0252.53008Calabi, Eugenio 46 1972 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 112 1970 On the group of automorphisms of a symplectic manifold. Zbl 0209.25801Calabi, E. 32 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 30 1970 An intrinsic characterization of harmonic one-forms. Zbl 0194.24701Calabi, Eugenio 7 1969 On differentiable actions of compact Lie groups on compact manifolds. Zbl 0169.53303Calabi, Eugenio 3 1968 Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504Calabi, Eugenio 133 1967 On Ricci curvature and geodesics. Zbl 0153.51501Calabi, Eugenio 22 1967 Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003Calabi, Eugenio 3 1966 Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305 2 1965 Linear systems of real quadratic forms. Zbl 0178.35903Calabi, Eugenio 20 1964 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 47 1962 On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102Calabi, Eugenio 16 1961 On compact, locally symmetric Kähler manifolds. Zbl 0100.36002Calabi, Eugenio; Vesentini, Edoardo 66 1960 Sur les variétés complexes compactes localement symétriques. Zbl 0096.16201Calabi, Eugenio; Vesentini, Edoardo 1 1959 Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104Calabi, Eugenio 175 1958 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 134 1958 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 50 1958 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 49 1957 Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 212 1953 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 88 1953 Complex analytic manifolds without countable base. Zbl 0052.40601Calabi, Eugenio; Rosenlicht, Maxwell 6 1953 Metric Riemann surfaces. Zbl 0053.05103Calabi, Eugenio 6 1953 all cited Publications top 5 cited Publications all top 5 Cited by 1,483 Authors 42 Loi, Andrea 24 de Lima, Henrique F. 21 Romero, Alfonso 20 Bao, Jiguang 20 Chen, Xiuxiong 18 Rubio, Rafael María 16 Vrancken, Luc 15 Jiao, Xiaoxiang 14 Zuddas, Fabio 12 Aledo, Juan Ángel 12 He, Weiyong 11 Arezzo, Claudio 11 Fei, Jie 11 Li, An-Min 11 Milán, Francisco 11 Mossa, Roberto 11 Simon, Udo 11 Zedda, Michela 10 Rigoli, Marco 10 Streets, Jeffrey D. 10 Wu, Jiayong 10 Xu, Ruiwei 10 Xu, Xiaowei 9 Hu, Zejun 8 Dillen, Franki 8 Mushkarov, Oleg K. 8 Tian, Gang 8 Velásquez, Marco Antonio Lázaro 8 Zheng, Fangyang 7 Abe, Kinetsu 7 Alías, Luis J. 7 Battaglia, Luca 7 Li, Haigang 7 Li, Haizhong 7 Pelegrín, José A. S. 7 Yuan, Yuan 6 Aquino, Cicero Pedro 6 Chan, Shan Tai 6 Darvas, Tamás 6 Di Scala, Antonio Jose 6 Gálvez, Jose Antonio 6 Gauduchon, Paul 6 Huang, Hongnian 6 Jian, Huaiyu 6 Li, Cece 6 Mabuchi, Toshiki 6 Peng, Chiakuei 6 Rubinstein, Yanir A. 6 Salamon, Simon Montague 6 Stepanov, Sergeĭ Evgen’evich 6 Sun, Song 5 Apostolov, Vestislav 5 Bi, Enchao 5 Calderbank, David M. J. 5 Cheng, Qingming 5 Chi, Quo-Shin 5 Dai, Limei 5 Eells, James jun. 5 Fernández, Isabel 5 Futaki, Akito 5 Hsiang, Wu-Yi 5 Huang, Xiaojun 5 Kobayashi, Toshiyuki 5 Malchiodi, Andrea 5 Mok, Ngaiming 5 Nagatomo, Yasuyuki 5 Nguyễn Thạc Dũng 5 Petersen, Peter V 5 Sabourau, Stéphane 5 Salamanca, Juan Jesús 5 Salis, Filippo 5 Simanca, Santiago R. 5 Tadano, Homare 5 Thakur, Ajay Singh 5 Verstraelen, Leopold C. A. 5 Vlachos, Theodoros 5 Wang, Changping 5 Wang, Xu-Jia 5 Yau, Shing-Tung 4 Angella, Daniele 4 Antic, Miroslava 4 Bolton, John 4 Craizer, Marcos 4 Daurtseva, N. A. 4 Davidov, Johann T. 4 de la Fuente, Daniel 4 Dos Santos, Fábio Reis 4 Du, Shi-Zhong 4 Eliashberg, Yakov Matveevich 4 Gray, Alfred 4 Kokarev, V. N. 4 Li, Haozhao 4 Lima, Eraldo Almeida jun. 4 Lopez Fernandez, Francisco Jose 4 Lu, Jian 4 Marrani, Alessio 4 Mira, Pablo 4 Tomassini, Adriano 4 Torres, Pedro José 4 Tosatti, Valentino ...and 1,383 more Authors all top 5 Cited in 250 Serials 62 Differential Geometry and its Applications 56 Journal of Geometry and Physics 53 Mathematische Annalen 51 Mathematische Zeitschrift 51 Transactions of the American Mathematical Society 47 The Journal of Geometric Analysis 46 Proceedings of the American Mathematical Society 45 Advances in Mathematics 41 Annals of Global Analysis and Geometry 37 Journal of Mathematical Analysis and Applications 37 Tohoku Mathematical Journal. Second Series 35 Geometriae Dedicata 33 Results in Mathematics 30 Annali di Matematica Pura ed Applicata. Serie Quarta 26 Inventiones Mathematicae 25 Calculus of Variations and Partial Differential Equations 24 Journal of Functional Analysis 22 Communications in Mathematical Physics 21 Archiv der Mathematik 20 Manuscripta Mathematica 20 International Journal of Mathematics 19 Duke Mathematical Journal 19 Journal of Differential Equations 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Annales de l’Institut Fourier 14 Journal für die Reine und Angewandte Mathematik 14 Geometry & Topology 14 Acta Mathematica Sinica. English Series 14 Science China. Mathematics 13 Acta Mathematica 13 Kodai Mathematical Journal 12 Journal of the American Mathematical Society 12 Journal of High Energy Physics 10 Compositio Mathematica 9 Mathematical Notes 9 Nuclear Physics. B 9 Journal of Geometry 9 Osaka Journal of Mathematics 9 Siberian Mathematical Journal 9 Bulletin of the American Mathematical Society 8 Journal of Mathematical Physics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Proceedings of the Japan Academy. Series A 8 Linear Algebra and its Applications 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Mathematical Sciences (New York) 8 Journal of the European Mathematical Society (JEMS) 8 Complex Manifolds 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Bulletin de la Société Mathématique de France 7 Nagoya Mathematical Journal 7 Annals of Mathematics. Second Series 7 Mediterranean Journal of Mathematics 6 General Relativity and Gravitation 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Discrete and Continuous Dynamical Systems 6 International Journal of Geometric Methods in Modern Physics 5 Israel Journal of Mathematics 5 Letters in Mathematical Physics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Publications Mathématiques 5 Journal of the Mathematical Society of Japan 5 Monatshefte für Mathematik 5 Rendiconti del Seminario Matematico della Università di Padova 5 Boundary Value Problems 4 Classical and Quantum Gravity 4 Beiträge zur Algebra und Geometrie 4 Memoirs of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Geometric and Functional Analysis. GAFA 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Acta Mathematica Sinica. New Series 4 Algebraic & Geometric Topology 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Archive for Rational Mechanics and Analysis 3 Biological Cybernetics 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Differential Geometry 3 Journal of Pure and Applied Algebra 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Tokyo Journal of Mathematics 3 Revista Matemática Iberoamericana 3 Communications in Partial Differential Equations 3 Indagationes Mathematicae. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Communications in Contemporary Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications on Pure and Applied Analysis 3 Milan Journal of Mathematics 3 Proceedings of the Japan Academy 3 Proceedings of the Steklov Institute of Mathematics 3 Analysis & PDE 3 Journal of Topology and Analysis 3 Complex Analysis and its Synergies ...and 150 more Serials all top 5 Cited in 56 Fields 1,087 Differential geometry (53-XX) 304 Several complex variables and analytic spaces (32-XX) 277 Global analysis, analysis on manifolds (58-XX) 254 Partial differential equations (35-XX) 93 Algebraic geometry (14-XX) 86 Manifolds and cell complexes (57-XX) 43 Topological groups, Lie groups (22-XX) 43 Quantum theory (81-XX) 43 Relativity and gravitational theory (83-XX) 40 Dynamical systems and ergodic theory (37-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 27 Convex and discrete geometry (52-XX) 24 Functions of a complex variable (30-XX) 20 Nonassociative rings and algebras (17-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Algebraic topology (55-XX) 14 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 12 Number theory (11-XX) 12 Geometry (51-XX) 11 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 10 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 Group theory and generalizations (20-XX) 7 Computer science (68-XX) 6 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 4 Abstract harmonic analysis (43-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Category theory; homological algebra (18-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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