## Frankel, Theodore

Compute Distance To:
 Author ID: frankel.theodore Published as: Frankel, Theodore; Frankel, T.; Frankel, Th. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 19 Publications since 1957, including 4 Books Co-Authors: 3 Co-Authors with 6 Joint Publications 90 Co-Co-Authors

### Co-Authors

 13 single-authored 3 Galloway, Gregory J. 2 Andreotti, Aldo 1 Driver, Bruce K.
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### Serials

 4 Annals of Mathematics. Second Series 2 Mathematische Zeitschrift 1 American Mathematical Monthly 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics
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### Fields

 9 Differential geometry (53-XX) 5 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

17 Publications have been cited 480 times in 458 Documents Cited by Year
The Lefschetz theorem on hyperplane sections. Zbl 0115.38405
Andreotti, Aldo; Frankel, Th.
1959
Manifolds with positive curvature. Zbl 0107.39002
Frankel, T.
1961
Fixed points and torsion on Kähler manifolds. Zbl 0088.38002
Frankel, Theodore
1959
The geometry of physics. An introduction. Zbl 0888.58077
Frankel, Theodore
1997
The geometry of physics. An introduction. 2nd ed. Zbl 1049.58001
Frankel, Theodore
2004
On the fundamental group of a compact minimal submanifolds. Zbl 0189.22401
Frankel, T.
1966
The geometry of physics. An introduction. 3rd ed. Zbl 1250.58001
Frankel, Theodore
2011
The second Lefschetz theorem on hyperplane sections. Zbl 0191.19301
Andreotti, Aldo; Frankel, Theodore
1969
Applications of Duschek’s formula to cosmology and minimal surfaces. Zbl 0302.53003
Frankel, Theodore
1975
Gravitational curvature. An introduction to Einstein’s theory. Zbl 0427.53009
Frankel, Theodore
1979
On theorems of Hurwitz and Bochner. Zbl 0139.39103
Frankel, T.
1966
Critical submanifolds of the classical groups and Stiefel manifolds. Zbl 0134.42602
Frankel, Theodore
1965
Energy density and spatial curvature in general relativity. Zbl 0483.76135
Frankel, Theodore; Galloway, Gregory J.
1981
Maxwell’s equations. Zbl 0281.53017
Frankel, Theodore
1974
Homology and flows on manifolds. Zbl 0078.14104
Frankel, Theodore
1957
Stable minimal surfaces and spatial topology in general relativity. Zbl 0482.53006
Frankel, Theodore; Galloway, Gregory J.
1982
Electric currents in multiply connected spaces. Zbl 0672.53058
Frankel, Theodore
1988
The geometry of physics. An introduction. 3rd ed. Zbl 1250.58001
Frankel, Theodore
2011
The geometry of physics. An introduction. 2nd ed. Zbl 1049.58001
Frankel, Theodore
2004
The geometry of physics. An introduction. Zbl 0888.58077
Frankel, Theodore
1997
Electric currents in multiply connected spaces. Zbl 0672.53058
Frankel, Theodore
1988
Stable minimal surfaces and spatial topology in general relativity. Zbl 0482.53006
Frankel, Theodore; Galloway, Gregory J.
1982
Energy density and spatial curvature in general relativity. Zbl 0483.76135
Frankel, Theodore; Galloway, Gregory J.
1981
Gravitational curvature. An introduction to Einstein’s theory. Zbl 0427.53009
Frankel, Theodore
1979
Applications of Duschek’s formula to cosmology and minimal surfaces. Zbl 0302.53003
Frankel, Theodore
1975
Maxwell’s equations. Zbl 0281.53017
Frankel, Theodore
1974
The second Lefschetz theorem on hyperplane sections. Zbl 0191.19301
Andreotti, Aldo; Frankel, Theodore
1969
On the fundamental group of a compact minimal submanifolds. Zbl 0189.22401
Frankel, T.
1966
On theorems of Hurwitz and Bochner. Zbl 0139.39103
Frankel, T.
1966
Critical submanifolds of the classical groups and Stiefel manifolds. Zbl 0134.42602
Frankel, Theodore
1965
Manifolds with positive curvature. Zbl 0107.39002
Frankel, T.
1961
The Lefschetz theorem on hyperplane sections. Zbl 0115.38405
Andreotti, Aldo; Frankel, Th.
1959
Fixed points and torsion on Kähler manifolds. Zbl 0088.38002
Frankel, Theodore
1959
Homology and flows on manifolds. Zbl 0078.14104
Frankel, Theodore
1957
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### Cited by 628 Authors

 6 Lê Dûng Tráng 4 Forstnerič, Franc 4 Friedlander, Eric Mark 4 Hamm, Helmut Arend 4 Kholodenko, Arkady L. 4 Natsiavas, Sotirios 4 Paraskevopoulos, Elias A. 4 Rubio, Rafael María 4 Seade, Jose Antonio 4 Sommese, Andrew John 3 Albujer, Alma L. 3 Amann, Manuel 3 Bishop, Richard L. 3 Borisenko, Aleksandr Andreevich 3 Dessai, Anand Naique 3 Fang, Fuquan 3 Galloway, Gregory J. 3 Hiptmair, Ralf 3 Kennard, Lee 3 Li, Ping 3 Macias-Virgós, Enrique 3 Marques, Fernando Codá 3 Marsden, Jerrold Eldon 3 Mendonça, Sergio J. X. 3 Nacinovich, Mauro 3 Pelayo, Alvaro 3 Peternell, Mathias 3 Quevedo, Hernando 3 Rodrigues, Waldyr Alves jun. 3 Rovenskiĭ, Vladimir Yuzefovich 3 Salamanca, Juan Jesús 3 Segev, Reuven 3 Tomassini, Giuseppe 2 Alías, Luis J. 2 Arroja Neves, André 2 Bradlow, Steven B. 2 Buchner, Michael A. 2 Califano, Federico 2 Chen, Xiaoyang 2 Cheniot, Denis 2 Choi, Hyeong In 2 Clemens, C. Herbert 2 Delzant, Thomas 2 Di Pietro, Daniele Antonio 2 Einkemmer, Lukas 2 Farantos, Stavros C. 2 Frankel, Theodore 2 García-Río, Eduardo 2 Geracie, Michael 2 Goldberg, Samuel I. 2 Goresky, Robert Mark 2 Gothen, Peter B. 2 Guillarmou, Colin 2 Gustafsson, Bjorn 2 Harer, John L. 2 Hartshorne, Robin 2 Harvey, Reese 2 Hehl, Friedrich W. 2 Held, Markus 2 Hermann, Robert 2 Hill, C. Denson 2 Hydon, Peter Ellsworth 2 Kaup, Ludger 2 Kim, Jin Hong 2 Kobayashi, Shoshichi 2 Kucharz, Wojciech 2 Kupeli, Demir N. 2 Lawson, Herbert Blaine jun. 2 Lefèvre, Laurent 2 Li, Jingzhi 2 Lupacciolu, Guido 2 Mabuchi, Toshiki 2 Maschke, Bernhard M. 2 Matveev, Vladimir S. 2 Meeks, William Hamilton III 2 Mertens, Tom 2 Mongodi, Samuele 2 Morse, Marston 2 Myrzakulov, Ratbay 2 Bessa, Gregório Pacelli 2 Pelegrín, José A. S. 2 Perdomo, Oscar Mario 2 Pereira-Sáez, María José 2 Perlick, Volker 2 Possanner, Stefan 2 Prabhu, Kartik 2 Rashad, Ramy 2 Rezazadeh, H. R. 2 Roberts, Matthew M. 2 Rosenberg, Harold 2 Sakai, Takashi 2 Schlacher, Kurt 2 Schöberl, Markus 2 Schuller, Frederic P. 2 Searle, Catherine 2 Shiohama, Katsuhiro 2 Siu, Yum-Tong 2 Sorani, Giuliano 2 Stramigioli, Stefano 2 Tanno, Shukichi ...and 528 more Authors
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### Cited in 155 Serials

 25 Mathematische Annalen 20 Mathematische Zeitschrift 19 Transactions of the American Mathematical Society 17 Journal of Mathematical Physics 17 Proceedings of the American Mathematical Society 14 Inventiones Mathematicae 13 Journal of Geometry and Physics 10 Geometriae Dedicata 9 Tohoku Mathematical Journal. Second Series 8 General Relativity and Gravitation 8 Journal of Computational Physics 8 Advances in Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Duke Mathematical Journal 7 Communications in Mathematical Physics 7 Bulletin of the American Mathematical Society. New Series 7 Bulletin of the American Mathematical Society 6 International Journal of Theoretical Physics 5 Annales de l’Institut Fourier 5 Differential Geometry and its Applications 5 International Journal of Modern Physics D 5 Journal of High Energy Physics 5 International Journal of Geometric Methods in Modern Physics 4 Physics Letters. A 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Bulletin de la Société Mathématique de France 4 Manuscripta Mathematica 4 Nagoya Mathematical Journal 4 Annals of Physics 4 Journal of Mathematical Sciences (New York) 4 Advances in Applied Clifford Algebras 4 Mathematics and Mechanics of Solids 4 Nonlinear Dynamics 4 Frontiers of Mathematics in China 3 Archive for Rational Mechanics and Analysis 3 Journal of Fluid Mechanics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Soviet Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Ergodic Theory and Dynamical Systems 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 Communications in Contemporary Mathematics 3 Foundations of Physics 3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Modern Physics Letters A 2 Journal d’Analyse Mathématique 2 Acta Mathematica 2 Anais da Academia Brasileira de Ciências 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Journal of Algebra 2 Kodai Mathematical Journal 2 Topology and its Applications 2 Chinese Annals of Mathematics. Series B 2 Computer Aided Geometric Design 2 Physica D 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Calculus of Variations and Partial Differential Equations 2 Bulletin des Sciences Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical and Computer Modelling of Dynamical Systems 2 Foundations of Computational Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 African Diaspora Journal of Mathematics 2 Kodai Mathematical Seminar Reports 2 Analysis and Mathematical Physics 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Automatica 1 BIT 1 Boletim da Sociedade Brasileira de Matemática 1 Commentationes Mathematicae Universitatis Carolinae 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Geometry 1 Michigan Mathematical Journal ...and 55 more Serials
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### Cited in 52 Fields

 204 Differential geometry (53-XX) 90 Algebraic geometry (14-XX) 81 Several complex variables and analytic spaces (32-XX) 64 Manifolds and cell complexes (57-XX) 53 Global analysis, analysis on manifolds (58-XX) 41 Relativity and gravitational theory (83-XX) 33 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 31 Quantum theory (81-XX) 25 Algebraic topology (55-XX) 20 Mechanics of particles and systems (70-XX) 19 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 13 Statistical mechanics, structure of matter (82-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 $$K$$-theory (19-XX) 6 Topological groups, Lie groups (22-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

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