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Patodi, Vijay Kumar (b. 1945 d. 1976)

Author ID: patodi.vijay-kumar Recent zbMATH articles by "Patodi, Vijay Kumar"
Published as: Patodi, V. K.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 16 Publications since 1971, including 1 Book
Biographic References: 6 Publications
Co-Authors: 5 Co-Authors with 10 Joint Publications
247 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

15 Publications have been cited 1,551 times in 1,053 Documents Cited by Year
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
542
1975
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
342
1976
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
208
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
199
1973
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
60
1971
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
58
1973
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
40
1976
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
33
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
27
1971
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
14
1977
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
11
1975
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
10
1973
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
3
1975
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034
Patodi, V. K.
1
1996
Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034
Patodi, V. K.
1
1996
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
14
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
342
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
40
1976
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
542
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
208
1975
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
11
1975
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
3
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
199
1973
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
58
1973
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
10
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
60
1971
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
33
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
27
1971
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Cited by 1,013 Authors

29 Gilkey, Peter B.
20 Zhang, Weiping
18 Bismut, Jean-Michel
17 Freed, Daniel Stuart
16 Carey, Alan L.
13 Dai, Xianzhe
13 Ruberman, Daniel
12 Waterstraat, Nils
11 Hu, Xijun
11 Ma, Xiaonan
11 Mathai, Varghese
11 Park, Jinsung
11 Piazza, Paolo
10 Loya, Paul A.
10 Saveliev, Nikolai
10 Wojciechowski, Krzysztof P.
9 Atiyah, Michael Francis
9 Benameur, Moulay-Tahar
9 Brüning, Jochen
9 Lott, John
9 Ponge, Raphaël S.
8 Booss-Bavnbek, Bernhelm
8 Donnelly, Harold
8 Elmrabty, Adnane
8 Lee, Yoonweon
8 Lesch, Matthias
8 Moroianu, Sergiu
8 Savin, Anton Yur’evich
8 Yonekura, Kazuya
7 Bär, Christian
7 Carron, Gilles
7 Kirk, Paul A.
7 Moscovici, Henri
7 Sukochev, Fedor Anatol’evich
7 Wang, Hang
6 Braverman, Maxim
6 Liu, Bo
6 Nagase, Masayoshi
6 Portaluri, Alessandro
6 Rochon, Frédéric
6 Vassilevich, Dmitri V.
6 Vassiliev, Dmitri G.
6 Witten, Edward
5 Azamov, Nurulla A.
5 Bunke, Ulrich
5 Kirsten, Klaus
5 Klimek, Slawomir
5 Lehrer, Gustav Isaac
5 Lescure, Jean-Marie
5 Melrose, Richard Burt
5 Monnier, Samuel
5 Patodi, Vijay Kumar
5 Phillips, John
5 Podestá, Ricardo A.
5 Rennie, Adam
5 Savale, Nikhil
5 Schulz-Baldes, Hermann
5 Seeley, Robert Thomas
5 Singer, Isadore Manuel
5 Strohmaier, Alexander
5 Taubes, Clifford Henry
5 Vertman, Boris
5 Zhang, Ruibin
4 Albin, Pierre
4 Ballmann, Hans Werner
4 Bandara, Lashi
4 Bytsenko, Andrei A.
4 Christiansen, Snorre Harald
4 DellaPietra, Stephen
4 DellaPietra, Vincent
4 Douglas, Ronald George
4 Gesztesy, Fritz
4 Grubb, Gerd
4 Himpel, Benjamin
4 Huang, Rung-Tzung
4 Hunsicker, Eugenie
4 Iwai, Toshihiro
4 Kaminker, Jerome
4 Kappeler, Thomas
4 Kim, Eui Chul
4 Konno, Hokuto
4 Latushkin, Yuri
4 Leichtnam, Eric
4 Levitina, Galina Borisovna
4 Lin, Jianfeng
4 Liu, Kefeng
4 Miatello, Roberto Jorge
4 Morifuji, Takayuki
4 Müller, Werner
4 Nicolaescu, Liviu I.
4 Nistor, Victor
4 Pejsachowicz, Jacobo
4 Schulze, Bert-Wolfgang
4 Spreafico, Mauro
4 Tarkhanov, Nikolai N.
4 Wang, Yong
4 Wu, Fangbing
4 Xie, Zhizhang
4 Zhilinskií, Boris I.
4 Zhu, Chaofeng
...and 913 more Authors
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Cited in 203 Serials

75 Communications in Mathematical Physics
50 Journal of Functional Analysis
47 Journal of High Energy Physics
43 Advances in Mathematics
40 Journal of Geometry and Physics
37 Journal of Mathematical Physics
36 Geometry & Topology
31 Transactions of the American Mathematical Society
27 Inventiones Mathematicae
21 Mathematische Annalen
21 Mathematische Zeitschrift
21 Annals of Global Analysis and Geometry
16 Duke Mathematical Journal
16 The Journal of Geometric Analysis
15 Differential Geometry and its Applications
14 Letters in Mathematical Physics
14 Proceedings of the American Mathematical Society
12 Topology and its Applications
12 Bulletin of the American Mathematical Society. New Series
12 Journal of Noncommutative Geometry
11 Annales de l’Institut Fourier
11 Geometric and Functional Analysis. GAFA
9 Reviews in Mathematical Physics
9 International Journal of Mathematics
9 Communications in Partial Differential Equations
9 Algebraic & Geometric Topology
8 Compositio Mathematica
8 Journal of Differential Equations
7 International Journal of Modern Physics A
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal für die Reine und Angewandte Mathematik
7 \(K\)-Theory
7 Calculus of Variations and Partial Differential Equations
7 Journal of Mathematical Sciences (New York)
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Nuclear Physics. B
6 Geometriae Dedicata
6 Tôhoku Mathematical Journal. Second Series
6 Annales Henri Poincaré
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Annals of \(K\)-Theory
5 Israel Journal of Mathematics
5 Bulletin de la Société Mathématique de France
5 Journal of Differential Geometry
5 Mathematische Nachrichten
5 Nagoya Mathematical Journal
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of the European Mathematical Society (JEMS)
5 Journal of \(K\)-Theory
5 Journal of Spectral Theory
4 Rocky Mountain Journal of Mathematics
4 Theoretical and Mathematical Physics
4 Kodai Mathematical Journal
4 Journal of the American Mathematical Society
4 Journal of Knot Theory and its Ramifications
4 Communications in Contemporary Mathematics
4 Journal of Fixed Point Theory and Applications
4 Journal of Topology and Analysis
4 Journal of Pseudo-Differential Operators and Applications
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Mathematics of Computation
3 Fortschritte der Physik
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin of the London Mathematical Society
3 Czechoslovak Mathematical Journal
3 Functional Analysis and its Applications
3 Indiana University Mathematics Journal
3 Publications Mathématiques
3 Integral Equations and Operator Theory
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Michigan Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Science in China. Series A
3 Acta Mathematica Sinica. New Series
3 Selecta Mathematica. New Series
3 Bulletin des Sciences Mathématiques
3 Missouri Journal of Mathematical Sciences
3 International Journal of Geometric Methods in Modern Physics
3 Operators and Matrices
3 Journal of Topology
3 São Paulo Journal of Mathematical Sciences
2 Bulletin of the Australian Mathematical Society
2 General Relativity and Gravitation
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Nonlinearity
2 Acta Mathematica
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Dissertationes Mathematicae
2 Journal of the Mathematical Society of Japan
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
2 Mathematika
2 Monatshefte für Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 103 more Serials
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Cited in 52 Fields

682 Global analysis, analysis on manifolds (58-XX)
323 Differential geometry (53-XX)
212 Manifolds and cell complexes (57-XX)
211 Quantum theory (81-XX)
145 Partial differential equations (35-XX)
95 \(K\)-theory (19-XX)
82 Operator theory (47-XX)
59 Relativity and gravitational theory (83-XX)
57 Algebraic topology (55-XX)
54 Functional analysis (46-XX)
49 Algebraic geometry (14-XX)
40 Several complex variables and analytic spaces (32-XX)
37 Dynamical systems and ergodic theory (37-XX)
23 Ordinary differential equations (34-XX)
20 Topological groups, Lie groups (22-XX)
19 Number theory (11-XX)
15 Combinatorics (05-XX)
14 Mechanics of particles and systems (70-XX)
12 Nonassociative rings and algebras (17-XX)
12 Group theory and generalizations (20-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Numerical analysis (65-XX)
10 Functions of a complex variable (30-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Probability theory and stochastic processes (60-XX)
7 Special functions (33-XX)
6 Category theory; homological algebra (18-XX)
5 Abstract harmonic analysis (43-XX)
4 Difference and functional equations (39-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Fluid mechanics (76-XX)
3 History and biography (01-XX)
3 Potential theory (31-XX)
3 Convex and discrete geometry (52-XX)
3 Information and communication theory, circuits (94-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year

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