Edit Profile Calabi, Eugenio Compute Distance To: Compute Author ID: calabi.eugenio Published as: Calabi, E.; Calabi, Eugenio Homepage: https://www.math.upenn.edu/people/eugenio-calabi External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 48 Publications since 1951, including 3 Books Biographic References: 2 Publications all top 5 Co-Authors 31 single-authored 3 Vesentini, Edoardo 1 Aeppli, Alfred 1 Ahlfors, Lars Valerian 1 Beukers, Frits 1 Bourguignon, Jean-Pierre 1 Cao, Jianguo 1 Chen, Xiuxiong 1 Dvoretzky, Aryeh 1 Eckmann, Beno 1 Eells, James jun. 1 García-Prada, Oscar 1 Gluck, Herman 1 Gromov, Mikhael Leonidovich 1 Hartman, Philip 1 Kolk, Johan A. C. 1 Markus, Lawrence 1 Morse, Marston 1 Olver, Peter John 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 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Princeton Mathematical Series all top 5 Fields 20 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Several complex variables and analytic spaces (32-XX) 4 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 41 Publications have been cited 1,609 times in 1,460 Documents Cited by ▼ Year ▼ Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 198 1953 Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104Calabi, Eugenio 160 1958 Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504Calabi, Eugenio 124 1967 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 119 1958 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 117 1970 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 85 1982 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 82 1953 Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056Calabi, E. 68 1978 On compact, locally symmetric Kähler manifolds. Zbl 0100.36002Calabi, Eugenio; Vesentini, Edoardo 68 1960 Extremal Kähler metrics. II. Zbl 0574.58006Calabi, Eugenio 66 1985 Complete affine hyperspheres . I. Zbl 0252.53008Calabi, Eugenio 48 1972 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 47 1958 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 46 1962 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 44 1957 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. 33 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 28 1970 On Ricci curvature and geodesics. Zbl 0153.51501Calabi, Eugenio 18 1967 Linear systems of real quadratic forms. Zbl 0178.35903Calabi, Eugenio 18 1964 On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102Calabi, Eugenio 17 1961 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 16 1993 Simple closed geodesics on convex surfaces. Zbl 0768.53019Calabi, Eugenio; Cao, Jianguo 16 1992 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 15 1996 Convex affine maximal surfaces. Zbl 0653.53006Calabi, Eugenio 15 1988 Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029Calabi, Eugenio 9 1996 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. 8 1975 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 7 1993 Affine differential geometry and holomorphic curves. Zbl 0697.53019Calabi, Eugenio 7 1990 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 6 1968 Complex analytic manifolds without countable base. Zbl 0052.40601Calabi, Eugenio; Rosenlicht, Maxwell 6 1953 Isometric families of Kähler structures. Zbl 0453.53048Calabi, Eugenio 5 1980 Metric Riemann surfaces. Zbl 0053.05103Calabi, Eugenio 5 1953 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 The space of Kähler metrics. Zbl 1426.53002Calabi, Eugenio 2 2018 Linear systems of real quadratic forms. II. Zbl 0496.15017Calabi, Eugenio 2 1982 Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305Aeppli, A. (ed.); Calabi, Eugenio (ed.); Röhrl, H. (ed.) 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 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 15 1996 Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029Calabi, Eugenio 9 1996 What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036Calabi, Eugenio; Gluck, Herman 16 1993 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 7 1993 Simple closed geodesics on convex surfaces. Zbl 0768.53019Calabi, Eugenio; Cao, Jianguo 16 1992 Affine differential geometry and holomorphic curves. Zbl 0697.53019Calabi, Eugenio 7 1990 Convex affine maximal surfaces. Zbl 0653.53006Calabi, Eugenio 15 1988 Extremal Kähler metrics. II. Zbl 0574.58006Calabi, Eugenio 66 1985 Extremal Kähler metrics. Zbl 0487.53057Calabi, Eugenio 85 1982 Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037Calabi, Eugenio 39 1982 Linear systems of real quadratic forms. II. Zbl 0496.15017Calabi, Eugenio 2 1982 Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021Calabi, E. 3 1981 Isometric families of Kähler structures. Zbl 0453.53048Calabi, Eugenio 5 1980 Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056Calabi, E. 68 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. 8 1975 Complete affine hyperspheres . I. Zbl 0252.53008Calabi, Eugenio 48 1972 Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801Calabi, E. 117 1970 On the group of automorphisms of a symplectic manifold. Zbl 0209.25801Calabi, E. 33 1970 On the smoothness of isometries. Zbl 0203.54304Calabi, E.; Hartman, P. 28 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 6 1968 Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504Calabi, Eugenio 124 1967 On Ricci curvature and geodesics. Zbl 0153.51501Calabi, Eugenio 18 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 0137.24305Aeppli, A. (ed.); Calabi, Eugenio (ed.); Röhrl, H. (ed.) 2 1965 Linear systems of real quadratic forms. Zbl 0178.35903Calabi, Eugenio 18 1964 Relativistic space forms. Zbl 0101.21804Calabi, Eugenio; Markus, L. 46 1962 On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102Calabi, Eugenio 17 1961 On compact, locally symmetric Kähler manifolds. Zbl 0100.36002Calabi, Eugenio; Vesentini, Edoardo 68 1960 Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104Calabi, Eugenio 160 1958 An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801Calabi, Eugenio 119 1958 Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601Calabi, Eugenio 47 1958 On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002Calabi, Eugenio 44 1957 Isometric imbedding of complex manifolds. Zbl 0051.13103Calabi, Eugenio 198 1953 A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304Calabi, Eugenio; Eckmann, Beno 82 1953 Complex analytic manifolds without countable base. Zbl 0052.40601Calabi, Eugenio; Rosenlicht, Maxwell 6 1953 Metric Riemann surfaces. Zbl 0053.05103Calabi, Eugenio 5 1953 all cited Publications top 5 cited Publications all top 5 Cited by 1,459 Authors 39 Loi, Andrea 22 de Lima, Henrique F. 21 Romero, Alfonso 20 Chen, Xiuxiong 18 Rubio, Rafael María 17 Bao, Jiguang 15 Jiao, Xiaoxiang 15 Vrancken, Luc 13 Li, An-Min 12 Zuddas, Fabio 11 Aledo, Juan Ángel 11 Arezzo, Claudio 11 Milán, Francisco 11 Rigoli, Marco 11 Simon, Udo 10 He, Weiyong 10 Mossa, Roberto 10 Streets, Jeffrey D. 10 Tian, Gang 10 Xu, Xiaowei 9 Alías, Luis J. 9 Fei, Jie 9 Hu, Zejun 9 Xu, Ruiwei 9 Zedda, Michela 8 Dillen, Franki 8 Li, Haigang 8 Li, Haizhong 8 Martinez, Antonio Olivas 8 Velásquez, Marco Antonio Lázaro 8 Wu, Jiayong 8 Zheng, Fangyang 7 Abe, Kinetsu 7 Battaglia, Luca 7 Mushkarov, Oleg K. 7 Pelegrín, José A. S. 7 Yuan, Yuan 6 Aquino, Cicero Pedro 6 Futaki, Akito 6 Gauduchon, Paul 6 Huang, Hongnian 6 Jian, Huaiyu 6 Li, Cece 6 Mabuchi, Toshiki 6 Marrani, Alessio 6 Peng, Chiakuei 6 Rubinstein, Yanir A. 6 Salamon, Simon Montague 6 Sun, Song 6 Wang, Xu-Jia 5 Apostolov, Vestislav 5 Calderbank, David M. J. 5 Chan, Shan Tai 5 Cheng, Qingming 5 Darvas, Tamás 5 Eells, James jun. 5 Fernández, Isabel 5 Ferrara, Sergio 5 Gálvez, Jose Antonio 5 Hsiang, Wu-Yi 5 Kobayashi, Toshiyuki 5 Malchiodi, Andrea 5 Mok, Ngaiming 5 Petersen, Peter V 5 Salamanca, Juan Jesús 5 Simanca, Santiago R. 5 Thakur, Ajay Singh 5 Tønnesen-Friedman, Christina Wiis 5 Verstraelen, Leopold C. A. 5 Viaclovsky, Jeff A. 5 Vlachos, Theodoros 5 Wang, Changping 5 Yau, Shing-Tung 4 Albujer, Alma L. 4 Angella, Daniele 4 Antic, Miroslava 4 Bi, Enchao 4 Bolton, John 4 Chi, Quo-Shin 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 M. 4 Gray, Alfred 4 Huang, Xiaojun 4 Kokarev, V. N. 4 Li, Haozhao 4 Li, YanYan 4 Lima, Eraldo Almeida jun. 4 Lopez Fernandez, Francisco Jose 4 Lu, Jian 4 Nguyễn Thạc Dũng 4 Sabourau, Stéphane 4 Sheng, Li 4 Stepanov, Sergeĭ Evgen’evich 4 Tomassini, Adriano 4 Tosatti, Valentino ...and 1,359 more Authors all top 5 Cited in 237 Serials 64 Journal of Geometry and Physics 62 Differential Geometry and its Applications 51 Mathematische Annalen 49 Advances in Mathematics 49 Transactions of the American Mathematical Society 47 Mathematische Zeitschrift 42 Proceedings of the American Mathematical Society 39 Journal of Mathematical Analysis and Applications 39 The Journal of Geometric Analysis 38 Annals of Global Analysis and Geometry 35 Tohoku Mathematical Journal. Second Series 34 Geometriae Dedicata 30 Annali di Matematica Pura ed Applicata. Serie Quarta 29 Results in Mathematics 25 Inventiones Mathematicae 24 Journal of Functional Analysis 21 Communications in Mathematical Physics 21 Calculus of Variations and Partial Differential Equations 20 Journal of Differential Equations 19 Archiv der Mathematik 19 Duke Mathematical Journal 19 Manuscripta Mathematica 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Annales de l’Institut Fourier 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 International Journal of Mathematics 15 Geometry & Topology 15 Journal of High Energy Physics 13 Acta Mathematica 13 Kodai Mathematical Journal 13 Acta Mathematica Sinica. English Series 12 Science China. Mathematics 11 Nuclear Physics. B 11 Journal für die Reine und Angewandte Mathematik 10 Compositio Mathematica 10 Journal of the American Mathematical Society 9 Siberian Mathematical Journal 9 Bulletin of the American Mathematical Society 8 Journal of Mathematical Physics 8 Mathematical Notes 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Journal of Geometry 8 Osaka Journal of Mathematics 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 Complex Manifolds 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Bulletin de la Société Mathématique de France 7 Annals of Mathematics. Second Series 6 General Relativity and Gravitation 6 Nagoya Mathematical Journal 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 Journal of the European Mathematical Society (JEMS) 6 International Journal of Geometric Methods in Modern Physics 5 Israel Journal of Mathematics 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 Letters in Mathematical Physics 4 Beiträge zur Algebra und Geometrie 4 Memoirs of the American Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Acta Mathematica Sinica. New Series 4 Algebraic & Geometric Topology 4 Mediterranean Journal of Mathematics 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 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Indagationes Mathematicae. New Series 3 Communications in Contemporary Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Milan Journal of Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Boundary Value Problems 3 Proceedings of the Japan Academy 3 Proceedings of the Steklov Institute of Mathematics 3 Analysis & PDE 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Reports on Mathematical Physics ...and 137 more Serials all top 5 Cited in 54 Fields 1,035 Differential geometry (53-XX) 287 Several complex variables and analytic spaces (32-XX) 265 Global analysis, analysis on manifolds (58-XX) 230 Partial differential equations (35-XX) 83 Algebraic geometry (14-XX) 80 Manifolds and cell complexes (57-XX) 48 Relativity and gravitational theory (83-XX) 44 Quantum theory (81-XX) 41 Topological groups, Lie groups (22-XX) 36 Dynamical systems and ergodic theory (37-XX) 28 Convex and discrete geometry (52-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Functions of a complex variable (30-XX) 19 Nonassociative rings and algebras (17-XX) 19 Algebraic topology (55-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 Operator theory (47-XX) 11 Number theory (11-XX) 11 Ordinary differential equations (34-XX) 10 Combinatorics (05-XX) 9 Potential theory (31-XX) 9 Functional analysis (46-XX) 9 Probability theory and stochastic processes (60-XX) 9 Operations research, mathematical programming (90-XX) 8 Group theory and generalizations (20-XX) 8 Computer science (68-XX) 7 Geometry (51-XX) 5 Mechanics of particles and systems (70-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 Abstract harmonic analysis (43-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-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 Sequences, series, summability (40-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-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 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-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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