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Calabi, Eugenio

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Author ID: calabi.eugenio Recent zbMATH articles by "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

Publications by Year

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 0051.13103
Calabi, Eugenio
198
1953
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
160
1958
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
124
1967
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
119
1958
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
117
1970
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
85
1982
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
82
1953
Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056
Calabi, E.
68
1978
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
68
1960
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
66
1985
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
48
1972
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
47
1958
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
46
1962
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
44
1957
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.
33
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
28
1970
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
18
1967
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
18
1964
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
17
1961
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
16
1993
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
16
1992
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
15
1996
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
9
1996
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.
8
1975
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
7
1993
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
7
1990
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
6
1968
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
Isometric families of Kähler structures. Zbl 0453.53048
Calabi, Eugenio
5
1980
Metric Riemann surfaces. Zbl 0053.05103
Calabi, Eugenio
5
1953
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
The space of Kähler metrics. Zbl 1426.53002
Calabi, Eugenio
2
2018
Linear systems of real quadratic forms. II. Zbl 0496.15017
Calabi, Eugenio
2
1982
Proceedings of the conference on complex analysis, Minneapolis 1964. Zbl 0137.24305
Aeppli, A. (ed.); Calabi, Eugenio (ed.); Röhrl, H. (ed.)
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 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
15
1996
Extremal isosystolic metrics for compact surfaces. Zbl 0884.58029
Calabi, Eugenio
9
1996
What are the best almost-complex structures on the 6-sphere? Zbl 0790.53036
Calabi, Eugenio; Gluck, Herman
16
1993
Sums of generalized harmonic series and volumes. Zbl 0797.40001
Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio
7
1993
Simple closed geodesics on convex surfaces. Zbl 0768.53019
Calabi, Eugenio; Cao, Jianguo
16
1992
Affine differential geometry and holomorphic curves. Zbl 0697.53019
Calabi, Eugenio
7
1990
Convex affine maximal surfaces. Zbl 0653.53006
Calabi, Eugenio
15
1988
Extremal Kähler metrics. II. Zbl 0574.58006
Calabi, Eugenio
66
1985
Extremal Kähler metrics. Zbl 0487.53057
Calabi, Eugenio
85
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
2
1982
Géométrie différentielle affine des hypersurfaces. Zbl 0475.53021
Calabi, E.
3
1981
Isometric families of Kähler structures. Zbl 0453.53048
Calabi, Eugenio
5
1980
Métriques kähleriennes et fibres holomorphes. Zbl 0431.53056
Calabi, E.
68
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.
8
1975
Complete affine hyperspheres . I. Zbl 0252.53008
Calabi, Eugenio
48
1972
Examples of Bernstein problems for some nonlinear equations. Zbl 0211.12801
Calabi, E.
117
1970
On the group of automorphisms of a symplectic manifold. Zbl 0209.25801
Calabi, E.
33
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
28
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
6
1968
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
124
1967
On Ricci curvature and geodesics. Zbl 0153.51501
Calabi, Eugenio
18
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
Aeppli, A. (ed.); Calabi, Eugenio (ed.); Röhrl, H. (ed.)
2
1965
Linear systems of real quadratic forms. Zbl 0178.35903
Calabi, Eugenio
18
1964
Relativistic space forms. Zbl 0101.21804
Calabi, Eugenio; Markus, L.
46
1962
On compact, Riemannian manifolds with constant curvature. I. Zbl 0129.14102
Calabi, Eugenio
17
1961
On compact, locally symmetric Kähler manifolds. Zbl 0100.36002
Calabi, Eugenio; Vesentini, Edoardo
68
1960
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Zbl 0113.30104
Calabi, Eugenio
160
1958
An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
Calabi, Eugenio
119
1958
Construction and properties of some 6-dimensional almost complex manifolds. Zbl 0080.37601
Calabi, Eugenio
47
1958
On Kaehler manifolds with vanishing canonical class. Zbl 0080.15002
Calabi, Eugenio
44
1957
Isometric imbedding of complex manifolds. Zbl 0051.13103
Calabi, Eugenio
198
1953
A class of compact, complex manifolds which are not algebraic. Zbl 0051.40304
Calabi, Eugenio; Eckmann, Beno
82
1953
Complex analytic manifolds without countable base. Zbl 0052.40601
Calabi, Eugenio; Rosenlicht, Maxwell
6
1953
Metric Riemann surfaces. Zbl 0053.05103
Calabi, Eugenio
5
1953
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

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