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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
776 Co-Co-Authors

Publications by Year

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 0051.13103
Calabi, Eugenio
212
1953
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
175
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
134
1958
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
133
1967
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
112
1970
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
88
1953
Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056
Calabi, E.
76
1978
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
71
1982
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
66
1960
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
64
1985
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
50
1958
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
49
1957
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
47
1962
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
46
1972
The space of Kähler metrics. II. Zbl 1067.58010
Calabi, E.; Chen, X. X.
40
2002
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
39
1982
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
32
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
30
1970
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
22
1967
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
20
1964
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
18
1992
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
18
1993
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
16
1996
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
12
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
An intrinsic characterization of harmonic one-forms. Zbl 0194.24701
Calabi, Eugenio
7
1969
A construction of nonhomogeneous Einstein metrices. Zbl 0309.53043
Calabi, E.
7
1975
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
3
1982
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
3
1990
Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021
Calabi, E.
3
1981
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
Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305
2
1965
The space of Kähler metrics. Zbl 1426.53002
Calabi, Eugenio
2
2018
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.
40
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
16
1996
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
12
1996
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
18
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
18
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
64
1985
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
71
1982
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
39
1982
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
3
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.
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 0354.05003
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
46
1972
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
112
1970
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
32
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
30
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
133
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
20
1964
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
47
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
66
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
175
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
134
1958
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
50
1958
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
49
1957
Isometric imbedding of complex manifolds. Zbl 0051.13103
Calabi, Eugenio
212
1953
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
88
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 1,483 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

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