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Calabi, Eugenio (b. 1923 d. 2023)

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: 93 Publications since 1951, including 1 Book
2 Contributions as Editor · 1 Further Contribution
Biographic References: 7 Publications
Co-Authors: 24 Co-Authors with 34 Joint Publications
830 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 2,297 times in 2,058 Documents Cited by Year
Isometric imbedding of complex manifolds. Zbl 0051.13103
Calabi, Eugenio
247
1953
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
214
1958
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
189
1982
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
178
1970
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
174
1958
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
157
1967
Kähler metrics and holomorphic fibers. (Métriques kähleriennes et fibres holomorphes.) Zbl 0431.53056
Calabi, E.
116
1978
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
112
1985
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
107
1953
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
83
1972
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
83
1960
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
68
1957
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
57
1962
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
56
1958
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
51
1970
The space of Kähler metrics. II. Zbl 1067.58010
Calabi, E.; Chen, X. X.
47
2002
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
41
1982
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
35
1970
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
29
1961
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
28
1992
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
25
1967
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
24
1964
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
23
1996
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
22
1993
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
13
1996
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
12
1993
A construction of nonhomogeneous Einstein metrics. Zbl 0309.53043
Calabi, E.
12
1975
An intrinsic characterization of harmonic one-forms. Zbl 0194.24701
Calabi, Eugenio
12
1969
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
10
1990
Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi (Séminaire Palaiseau, France, March–June 1978). Zbl 0397.35028
10
1978
On the sequential and random selection of subspaces over a finite field. Zbl 0354.05003
Calabi, Eugenio; Wilf, Herbert S.
9
1977
Isometric families of Kähler structures. Zbl 0453.53048
Calabi, Eugenio
8
1980
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
7
1982
Metric Riemann surfaces. Zbl 0053.05103
Calabi, Eugenio
6
1953
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003
Calabi, Eugenio
4
1966
The space of Kähler metrics. Zbl 1426.53002
Calabi, Eugenio
3
2018
Affine differential geometry of hypersurfaces. (Géométrie différentielle affine des hypersurfaces.) Zbl 0475.53021
Calabi, E.
3
1981
On differentiable actions of compact Lie groups on compact manifolds. Zbl 0169.53303
Calabi, Eugenio
3
1968
On locally symmetric compact complex varieties. (Sur les variétés complexes compactes localement symétriques.) Zbl 0096.16201
Calabi, Eugenio; Vesentini, Edoardo
2
1959
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
The space of Kähler metrics. Zbl 1514.53007
Calabi, Eugenio
1
2021
Kähler metrics and holomorphic fibers. (Métriques kählériennes et fibrés holomorphes.) Zbl 1514.53024
Calabi, Eugenio
1
2021
Extremal Kähler metrics. Zbl 1514.53027
Calabi, Eugenio
1
2021
The space of Kähler metrics. Zbl 1514.53007
Calabi, Eugenio
1
2021
Kähler metrics and holomorphic fibers. (Métriques kählériennes et fibrés holomorphes.) Zbl 1514.53024
Calabi, Eugenio
1
2021
Extremal Kähler metrics. Zbl 1514.53027
Calabi, Eugenio
1
2021
The space of Kähler metrics. Zbl 1426.53002
Calabi, Eugenio
3
2018
The space of Kähler metrics. II. Zbl 1067.58010
Calabi, E.; Chen, X. X.
47
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
23
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
22
1993
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
12
1993
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
28
1992
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
10
1990
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
112
1985
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
189
1982
Hypersurfaces with maximal affinely invariant area. Zbl 0501.53037
Calabi, Eugenio
41
1982
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
7
1982
Affine differential geometry of hypersurfaces. (Géométrie différentielle affine des hypersurfaces.) Zbl 0475.53021
Calabi, E.
3
1981
Isometric families of Kähler structures. Zbl 0453.53048
Calabi, Eugenio
8
1980
Kähler metrics and holomorphic fibers. (Métriques kähleriennes et fibres holomorphes.) Zbl 0431.53056
Calabi, E.
116
1978
Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi (Séminaire Palaiseau, France, March–June 1978). Zbl 0397.35028
10
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 metrics. Zbl 0309.53043
Calabi, E.
12
1975
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
83
1972
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
178
1970
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
51
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
35
1970
An intrinsic characterization of harmonic one-forms. Zbl 0194.24701
Calabi, Eugenio
12
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
157
1967
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
25
1967
Quasi-surjective mappings and a generalization of Morse theory. Zbl 0151.32003
Calabi, Eugenio
4
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
24
1964
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
57
1962
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
29
1961
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
83
1960
On locally symmetric compact complex varieties. (Sur les variétés complexes compactes localement symétriques.) Zbl 0096.16201
Calabi, Eugenio; Vesentini, Edoardo
2
1959
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
214
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
174
1958
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
56
1958
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
68
1957
Isometric imbedding of complex manifolds. Zbl 0051.13103
Calabi, Eugenio
247
1953
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
107
1953
Metric Riemann surfaces. Zbl 0053.05103
Calabi, Eugenio
6
1953
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
all top 5

Cited by 1,956 Authors

46 Loi, Andrea
38 de Lima, Henrique F.
26 Bao, Jiguang
24 Romero, Alfonso
23 Chen, Xiuxiong
20 Rubio, Rafael María
18 Jiao, Xiaoxiang
17 Velásquez, Marco Antonio Lázaro
16 Vrancken, Luc
16 Zuddas, Fabio
15 Fei, Jie
15 Mossa, Roberto
15 Xu, Ruiwei
15 Zedda, Michela
14 Arezzo, Claudio
14 Li, An-Min
13 He, Weiyong
13 Li, Cece
13 Martinez, Antonio Olivas
12 Aledo, Juan Ángel
12 Hu, Zejun
12 Jian, Huai-Yu
12 Tian, Gang
12 Xu, Xiaowei
11 Milán, Francisco
11 Rigoli, Marco
11 Simon, Udo
11 Streets, Jeffrey D.
11 Wang, Jun
11 Wu, Jiayong
10 Alías, Luis J.
10 Apostolov, Vestislav
10 Zheng, Fangyang
9 Stepanov, Sergeĭ Evgen’evich
9 Tønnesen-Friedman, Christina Wiis
9 Yau, Shing-Tung
8 Calderbank, David M. J.
8 Dai, Limei
8 Dillen, Franki
8 Huang, Hongnian
8 Li, Haizhong
8 Rubinstein, Yanir A.
8 Wu, Yingyi
8 Yuan, Yuan
7 Abe, Kinetsu
7 Battaglia, Luca
7 Darvas, Tamás
7 Dos Santos, Fábio Reis
7 Futaki, Akito
7 Gauduchon, Paul
7 LeBrun, Claude R.
7 Li, Haigang
7 Lin, Chang-Shou
7 Nagatomo, Yasuyuki
7 Pelegrín, José A. S.
7 Salamanca, Juan Jesús
7 Salis, Filippo
7 Simanca, Santiago R.
7 Sun, Song
7 Viaclovsky, Jeff A.
7 Wang, Xu-Jia
7 Xu, Huiyang
6 Aquino, Cicero Pedro
6 Boyer, Charles P.
6 Chan, Shan Tai
6 Collins, Tristan Clifford
6 Craizer, Marcos
6 Daurtseva, Nataliya Alexandrovna
6 Di Scala, Antonio Jose
6 Gálvez, Jose Antonio
6 Hao, Yihong
6 Kobayashi, Toshiyuki
6 Li, You
6 Liu, Zixiao
6 Lu, Jian
6 Mabuchi, Toshiki
6 Marrani, Alessio
6 Peng, Chiakuei
6 Qiu, Hongbing
6 Sabourau, Stéphane
6 Salamon, Simon Montague
6 Tadano, Homare
6 Tipler, Carl
6 Wang, Changping
6 Wang, Peng
6 Xiao, Ming
5 Akamine, Shintaro
5 Angella, Daniele
5 Azami, Shahroud
5 Berceanu, Stefan
5 Bi, Enchao
5 Cheng, Qingming
5 Chi, Quo-Shin
5 Chu, Jianchun
5 de Lima, Eudes Leite
5 Du, Shi-Zhong
5 Eells, James jun.
5 Fernández, Isabel
5 Ferrara, Sergio
5 Flores, José Luis
...and 1,856 more Authors
all top 5

Cited in 313 Serials

75 The Journal of Geometric Analysis
74 Differential Geometry and its Applications
72 Journal of Geometry and Physics
65 Mathematische Zeitschrift
63 Advances in Mathematics
62 Mathematische Annalen
59 Proceedings of the American Mathematical Society
57 Transactions of the American Mathematical Society
53 Annals of Global Analysis and Geometry
52 Journal of Mathematical Analysis and Applications
40 Geometriae Dedicata
39 Annali di Matematica Pura ed Applicata. Serie Quarta
39 Tôhoku Mathematical Journal. Second Series
38 Results in Mathematics
37 Journal of Functional Analysis
35 Calculus of Variations and Partial Differential Equations
31 Communications in Mathematical Physics
28 Inventiones Mathematicae
27 International Journal of Mathematics
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Journal of Differential Equations
23 Manuscripta Mathematica
22 Journal of High Energy Physics
21 Archiv der Mathematik
20 Geometry & Topology
19 Duke Mathematical Journal
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Annales de l’Institut Fourier
17 Journal für die Reine und Angewandte Mathematik
16 Nuclear Physics. B
16 Kodai Mathematical Journal
16 Acta Mathematica Sinica. English Series
14 Science China. Mathematics
13 Acta Mathematica
13 Journal of the American Mathematical Society
12 Journal of Geometry
11 Osaka Journal of Mathematics
11 Journal of Mathematical Sciences (New York)
11 Annals of Mathematics. Second Series
10 Israel Journal of Mathematics
10 Compositio Mathematica
10 Journal of the European Mathematical Society (JEMS)
10 Complex Manifolds
9 General Relativity and Gravitation
9 Mathematical Notes
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Siberian Mathematical Journal
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Linear Algebra and its Applications
9 International Journal of Geometric Methods in Modern Physics
9 Mediterranean Journal of Mathematics
9 Bulletin of the American Mathematical Society
8 Journal of Mathematical Physics
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Bulletin de la Société Mathématique de France
8 Journal of Differential Geometry
8 Nagoya Mathematical Journal
8 Proceedings of the Japan Academy. Series A
8 Bulletin of the American Mathematical Society. New Series
8 Acta Mathematica Scientia. Series B. (English Edition)
7 Publications Mathématiques
7 Pacific Journal of Mathematics
7 Discrete and Continuous Dynamical Systems
7 Communications in Contemporary Mathematics
7 Communications on Pure and Applied Analysis
7 Boundary Value Problems
6 Letters in Mathematical Physics
6 Beiträge zur Algebra und Geometrie
6 Bulletin of the Korean Mathematical Society
6 Chinese Annals of Mathematics. Series B
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Revista Matemática Iberoamericana
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Bulletin des Sciences Mathématiques
5 Classical and Quantum Gravity
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Journal of the Mathematical Society of Japan
5 Mathematische Nachrichten
5 Memoirs of the American Mathematical Society
5 Monatshefte für Mathematik
5 Rendiconti del Seminario Matematico della Università di Padova
5 Tokyo Journal of Mathematics
5 Geometric and Functional Analysis. GAFA
5 Selecta Mathematica. New Series
5 Algebraic & Geometric Topology
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Journal of Fixed Point Theory and Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Forum of Mathematics, Sigma
4 Archive for Rational Mechanics and Analysis
4 Journal d’Analyse Mathématique
4 Bulletin of the London Mathematical Society
4 Journal of Pure and Applied Algebra
4 Acta Mathematica Sinica. New Series
4 Indagationes Mathematicae. New Series
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Potential Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Analysis & PDE
...and 213 more Serials
all top 5

Cited in 57 Fields

1,468 Differential geometry (53-XX)
439 Several complex variables and analytic spaces (32-XX)
350 Partial differential equations (35-XX)
347 Global analysis, analysis on manifolds (58-XX)
140 Algebraic geometry (14-XX)
108 Manifolds and cell complexes (57-XX)
77 Quantum theory (81-XX)
69 Relativity and gravitational theory (83-XX)
59 Dynamical systems and ergodic theory (37-XX)
58 Topological groups, Lie groups (22-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
37 Convex and discrete geometry (52-XX)
33 Functions of a complex variable (30-XX)
32 Nonassociative rings and algebras (17-XX)
27 Algebraic topology (55-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 Ordinary differential equations (34-XX)
18 Operator theory (47-XX)
17 Operations research, mathematical programming (90-XX)
16 Group theory and generalizations (20-XX)
16 Potential theory (31-XX)
16 Geometry (51-XX)
13 Number theory (11-XX)
13 Probability theory and stochastic processes (60-XX)
12 Combinatorics (05-XX)
11 Functional analysis (46-XX)
11 Computer science (68-XX)
10 Numerical analysis (65-XX)
7 Fluid mechanics (76-XX)
6 History and biography (01-XX)
6 Statistics (62-XX)
6 Mechanics of particles and systems (70-XX)
6 Mechanics of deformable solids (74-XX)
5 Abstract harmonic analysis (43-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 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Sequences, series, summability (40-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Optics, electromagnetic theory (78-XX)
1 General algebraic systems (08-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 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

Citations by Year

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