×
Compute Distance To:
Author ID: calabi.eugenio Recent zbMATH articles by "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

Publications by Year

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 0051.13103
Calabi, Eugenio
227
1953
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
190
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
149
1958
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
140
1967
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
116
1970
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
98
1953
Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056
Calabi, E.
81
1978
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
76
1982
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
68
1960
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
65
1985
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
54
1958
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
51
1962
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
51
1957
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
47
1972
The space of Kähler metrics. II. Zbl 1067.58010
Calabi, E.; Chen, X. X.
45
2002
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
40
1982
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
35
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
31
1970
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
22
1967
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
21
1964
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
20
1996
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
19
1993
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
19
1992
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
16
1961
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
13
1996
On the sequential and random selection of subspaces over a finite field. Zbl 0354.05003
Calabi, Eugenio; Wilf, Herbert S.
9
1977
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
8
1993
A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043
Calabi, E.
7
1975
An intrinsic characterization of harmonic one-forms. Zbl 0194.24701
Calabi, Eugenio
7
1969
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
Metric Riemann surfaces. Zbl 0053.05103
Calabi, 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 0453.53048
Calabi, Eugenio
4
1980
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
4
1982
Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021
Calabi, E.
3
1981
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
3
1990
Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003
Calabi, Eugenio
3
1966
On differentiable actions of compact Lie groups on compact manifolds. Zbl 0169.53303
Calabi, Eugenio
3
1968
The space of Kähler metrics. Zbl 1426.53002
Calabi, 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 1005.53002
Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha
1
2001
Sur les variétés complexes compactes localement symétriques. Zbl 0096.16201
Calabi, Eugenio; Vesentini, Edoardo
1
1959
The space of Kähler metrics. Zbl 1426.53002
Calabi, Eugenio
2
2018
The space of Kähler metrics. II. Zbl 1067.58010
Calabi, E.; Chen, X. X.
45
2002
Where does geometry go? A research and education perspective. Zbl 1005.53002
Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha
1
2001
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
20
1996
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
13
1996
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
19
1993
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
8
1993
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
19
1992
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
3
1990
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
65
1985
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
76
1982
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
40
1982
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
4
1982
Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021
Calabi, E.
3
1981
Isometric families of Kähler structures. Zbl 0453.53048
Calabi, Eugenio
4
1980
Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056
Calabi, 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 0354.05003
Calabi, Eugenio; Wilf, Herbert S.
9
1977
A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043
Calabi, E.
7
1975
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
47
1972
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
116
1970
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
35
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
31
1970
An intrinsic characterization of harmonic one-forms. Zbl 0194.24701
Calabi, Eugenio
7
1969
On differentiable actions of compact Lie groups on compact manifolds. Zbl 0169.53303
Calabi, Eugenio
3
1968
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
140
1967
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
22
1967
Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003
Calabi, Eugenio
3
1966
Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305
2
1965
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
21
1964
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
51
1962
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
16
1961
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
68
1960
Sur les variétés complexes compactes localement symétriques. Zbl 0096.16201
Calabi, Eugenio; Vesentini, Edoardo
1
1959
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
190
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
149
1958
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
54
1958
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
51
1957
Isometric imbedding of complex manifolds. Zbl 0051.13103
Calabi, Eugenio
227
1953
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
98
1953
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
Metric Riemann surfaces. Zbl 0053.05103
Calabi, Eugenio
6
1953
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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.