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 794 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 1,778 times in 1,628 Documents Cited by ▼ Year ▼ Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 227 1953 Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104Calabi, Eugenio 190 1958 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 149 1958 Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504Calabi, Eugenio 140 1967 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 116 1970 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 98 1953 Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056Calabi, E. 81 1978 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 76 1982 On compact, locally symmetric Kähler manifolds. Zbl 0100.36002Calabi, Eugenio; Vesentini, Edoardo 68 1960 Extremal Kähler metrics. II. Zbl 0574.58006Calabi, Eugenio 65 1985 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 54 1958 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 51 1962 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 51 1957 Complete affine hyperspheres . I. Zbl 0252.53008Calabi, Eugenio 47 1972 The space of Kähler metrics. II. Zbl 1067.58010Calabi, E.; Chen, X. X. 45 2002 Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037Calabi, Eugenio 40 1982 On the group of automorphisms of a symplectic manifold. Zbl 0209.25801Calabi, E. 35 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 31 1970 On Ricci curvature and geodesics. Zbl 0153.51501Calabi, Eugenio 22 1967 Linear systems of real quadratic forms. Zbl 0178.35903Calabi, Eugenio 21 1964 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 20 1996 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 19 1993 Simple closed geodesics on convex surfaces. Zbl 0768.53019Calabi, Eugenio; Cao, Jianguo 19 1992 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 13 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 A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043Calabi, E. 7 1975 An intrinsic characterization of harmonic one-forms. Zbl 0194.24701Calabi, Eugenio 7 1969 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 4 1982 Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021Calabi, E. 3 1981 Affine differential geometry and holomorphic curves. Zbl 0697.53019Calabi, Eugenio 3 1990 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 The space of Kähler metrics. Zbl 1426.53002Calabi, Eugenio 2 2018 Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305 2 1965 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. 45 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 20 1996 Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029Calabi, Eugenio 13 1996 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 19 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 19 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 65 1985 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 76 1982 Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037Calabi, Eugenio 40 1982 Linear systems of real quadratic forms. II. Zbl 0496.15017Calabi, Eugenio 4 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. 81 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 47 1972 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 116 1970 On the group of automorphisms of a symplectic manifold. Zbl 0209.25801Calabi, E. 35 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 31 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 140 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 21 1964 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 51 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 68 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 190 1958 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 149 1958 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 54 1958 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 51 1957 Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 227 1953 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 98 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 1,592 Authors 43 Loi, Andrea 25 de Lima, Henrique F. 22 Bao, Jiguang 21 Romero, Alfonso 20 Chen, Xiuxiong 18 Rubio, Rafael María 17 Jiao, Xiaoxiang 16 Vrancken, Luc 15 Zuddas, Fabio 13 Zedda, Michela 12 Aledo, Juan Ángel 12 Fei, Jie 12 He, Weiyong 12 Mossa, Roberto 12 Xu, Ruiwei 11 Arezzo, Claudio 11 Li, An-Min 11 Milán, Francisco 11 Simon, Udo 10 Hu, Zejun 10 Rigoli, Marco 10 Streets, Jeffrey D. 10 Wu, Jiayong 10 Xu, Xiaowei 9 Stepanov, Sergeĭ Evgen’evich 9 Velásquez, Marco Antonio Lázaro 8 Dillen, Franki 8 Mushkarov, Oleg K. 8 Tian, Gang 8 Wang, Jun 8 Zheng, Fangyang 7 Abe, Kinetsu 7 Alías, Luis J. 7 Battaglia, Luca 7 Darvas, Tamás 7 Jian, Huai-Yu 7 Li, Cece 7 Li, Haigang 7 Li, Haizhong 7 Nagatomo, Yasuyuki 7 Pelegrín, José A. S. 7 Yuan, Yuan 6 Aquino, Cicero Pedro 6 Chan, Shan Tai 6 Dai, Limei 6 Di Scala, Antonio Jose 6 Gálvez, Jose Antonio 6 Gauduchon, Paul 6 Huang, Hongnian 6 Mabuchi, Toshiki 6 Peng, Chiakuei 6 Rubinstein, Yanir A. 6 Sabourau, Stéphane 6 Salamon, Simon Montague 6 Salis, Filippo 6 Sun, Song 6 Wang, Changping 6 Wang, Peng 5 Apostolov, Vestislav 5 Bi, Enchao 5 Calderbank, David M. J. 5 Cheng, Qingming 5 Chi, Quo-Shin 5 Craizer, Marcos 5 Daurtseva, Nataliya Alexandrovna 5 Du, Shi-Zhong 5 Eells, James jun. 5 Fernández, Isabel 5 Futaki, Akito 5 Hsiang, Wu-Yi 5 Huang, Xiaojun 5 Kobayashi, Toshiyuki 5 Li, Yi 5 Lin, Chang-Shou 5 Malchiodi, Andrea 5 Mok, Ngaiming 5 Nguyễn Thạc Dũng 5 Petersen, Peter V 5 Salamanca, Juan Jesús 5 Simanca, Santiago R. 5 Tadano, Homare 5 Thakur, Ajay Singh 5 Tsyganok, Irina Ivanovna 5 Verstraelen, Leopold C. A. 5 Vlachos, Theodoros 5 Wang, Xu-Jia 5 Xiao, Ming 5 Yau, Shing-Tung 4 Angella, Daniele 4 Antic, Miroslava 4 Bolton, John 4 Chu, Jianchun 4 Davidov, Johann T. 4 de la Fuente, Daniel 4 Dos Santos, Fábio Reis 4 Eliashberg, Yakov Matveevich 4 Gray, Alfred 4 Huang, Rongli 4 Kokarev, V. N. 4 Li, Haozhao ...and 1,492 more Authors all top 5 Cited in 267 Serials 64 Differential Geometry and its Applications 58 Journal of Geometry and Physics 54 Mathematische Annalen 53 Mathematische Zeitschrift 53 Transactions of the American Mathematical Society 50 The Journal of Geometric Analysis 47 Proceedings of the American Mathematical Society 45 Advances in Mathematics 42 Annals of Global Analysis and Geometry 38 Journal of Mathematical Analysis and Applications 37 Geometriae Dedicata 37 Tôhoku Mathematical Journal. Second Series 33 Annali di Matematica Pura ed Applicata. Serie Quarta 33 Results in Mathematics 27 Inventiones Mathematicae 27 Journal of Functional Analysis 27 Calculus of Variations and Partial Differential Equations 23 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 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Geometry & Topology 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Annales de l’Institut Fourier 15 Journal für die Reine und Angewandte Mathematik 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 Nuclear Physics. B 10 Compositio Mathematica 10 Journal of Geometry 10 Osaka Journal of Mathematics 10 Journal of Mathematical Sciences (New York) 9 Mathematical Notes 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Siberian Mathematical Journal 9 Annals of Mathematics. Second Series 9 Bulletin of the American Mathematical Society 8 Journal of Mathematical Physics 8 Bulletin de la Société Mathématique de France 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 the European Mathematical Society (JEMS) 8 Complex Manifolds 7 General Relativity and Gravitation 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Nagoya Mathematical Journal 7 Mediterranean Journal of Mathematics 7 Boundary Value Problems 6 Israel Journal of Mathematics 6 Pacific Journal of Mathematics 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 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 4 Archive for Rational Mechanics and Analysis 4 Classical and Quantum Gravity 4 Beiträge zur Algebra und Geometrie 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Revista Matemática Iberoamericana 4 Geometric and Functional Analysis. GAFA 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Acta Mathematica Sinica. New Series 4 Communications in Contemporary Mathematics 4 Algebraic & Geometric Topology 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications on Pure and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis & PDE 3 Biological Cybernetics 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Reviews in Mathematical Physics 3 Glasgow Mathematical Journal 3 Journal of Differential Geometry 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 Bulletin of the Korean Mathematical Society 3 Communications in Partial Differential Equations 3 Indagationes Mathematicae. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 167 more Serials all top 5 Cited in 56 Fields 1,149 Differential geometry (53-XX) 332 Several complex variables and analytic spaces (32-XX) 287 Global analysis, analysis on manifolds (58-XX) 278 Partial differential equations (35-XX) 96 Algebraic geometry (14-XX) 89 Manifolds and cell complexes (57-XX) 49 Quantum theory (81-XX) 48 Topological groups, Lie groups (22-XX) 46 Relativity and gravitational theory (83-XX) 43 Dynamical systems and ergodic theory (37-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 28 Convex and discrete geometry (52-XX) 24 Functions of a complex variable (30-XX) 22 Nonassociative rings and algebras (17-XX) 21 Algebraic topology (55-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 17 Ordinary differential equations (34-XX) 15 Geometry (51-XX) 13 Operator theory (47-XX) 12 Number theory (11-XX) 12 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 10 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 8 Group theory and generalizations (20-XX) 8 Functional analysis (46-XX) 8 Computer science (68-XX) 6 Statistics (62-XX) 5 Abstract harmonic analysis (43-XX) 5 Numerical analysis (65-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 Sequences, series, summability (40-XX) 3 General and overarching topics; collections (00-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 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-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. Updates and corrections should be made in Wikidata.