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Obata, Morio

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Author ID: obata.morio Recent zbMATH articles by "Obata, Morio"
Published as: Obata, M.; Obata, Morio
Documents Indexed: 33 Publications since 1953, including 3 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 694 times in 610 Documents Cited by Year
Certain conditions for a Riemannian manifold to be isometric with a sphere. Zbl 0115.39302
Obata, Morio
250
1962
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0236.53042
Obata, Morio
160
1971
Affine connections on manifolds with almost complex, quaternion or Hermitian structure. Zbl 0089.17203
Obata, Morio
63
1957
The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature. Zbl 0181.49801
Obata, Morio
36
1968
Affine and Riemannian s-manifolds. Zbl 0177.24602
Ledger, A. J.; Obata, M.
28
1968
Conformal transformations of Riemannian manifolds. Zbl 0205.52003
Obata, Morio
21
1970
Conformal changes of Riemannian metrics. Zbl 0203.54602
Yano, Kentaro; Obata, Morio
18
1970
Riemannian manifolds admitting a solution of a certain system of differential equations. Zbl 0144.20903
Obata, Morio
17
1966
Conformally-flatness and static space-time. Zbl 0485.58020
Kobayashi, Osamu; Obata, Morio
12
1981
Sur le groupe de transformations conformes d’une variété de Riemann dont le scalaire de courbure est constant. Zbl 0137.41302
Yano, Kentaro; Obata, Morio
10
1965
Conformal transformations of compact Riemannian manifolds. Zbl 0107.15703
Obata, Morio
9
1962
Hermitian manifolds with quaternion structure. Zbl 0093.35403
Obata, Morio
9
1958
Affine transformations in a Riemannian manifold. Zbl 0067.14602
Ishihara, Shigeru; Obata, Morio
8
1955
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0208.49903
Obata, M.
7
1971
Affine connections in a quaternion manifold and transformations preserving the structure. Zbl 0080.15204
Obata, Morio
6
1957
Affine transformations in an almost complex manifold with a natural affine connection. Zbl 0073.38901
Obata, Morio
6
1956
On \(n\)-dimensional homogeneous spaces of Lie groups of dimension greater than \({1\over 2}n(n-1)\). Zbl 0067.39701
Obata, Morio
6
1955
On manifolds which admit some affine connection. Zbl 0053.29801
Ishihara, Shigeru; Obata, Morio
6
1953
Conformal changes of Riemannian metrics on a Euclidean sphere. Zbl 0243.53038
Obata, Morio
5
1972
Compact Riemannian manifolds with essential groups of conformorphisms. Zbl 0208.49902
Ledger, A. J.; Obata, Morio
4
1970
Quelques inégalités intégrales sur une variété riemannienne compacte. Zbl 0145.42302
Obata, Morio
4
1967
On subgroups of the orthogonal group. Zbl 0080.02204
Obata, Morio
2
1958
Certain mathematical problems on static models in general relativity. Zbl 0523.53051
Kobayashi, Osamu; Obata, Morio
1
1982
Minimal submanifolds and geodesics. Proceedings of the Japan-United States seminar on minimal submanifolds, including geodesics, Tokyo, 1977. Zbl 0423.00012
Obata, Morio (ed.)
1
1979
A non-compact Riemannian manifold admitting a transitive group of conformorphisms. Zbl 0284.53036
Obata, Morio
1
1973
Differential geometry, in honor of Kentaro Yano. Zbl 0242.00016
Kobayashi, S. (ed.); Obata, M. (ed.); Takahashi, T. (ed.)
1
1972
Conformally flat Riemannian manifolds admitting a one-parameter group of conformal transformations. Zbl 0205.52101
Obata, Morio
1
1970
On a homogeneous space with invariant affine connection. Zbl 0068.36103
Ishihara, Shigeru; Obata, Morio
1
1955
On the group of conformal transformations of a Riemannian manifold. Zbl 0068.35805
Ishihara, Shigeru; Obata, Morio
1
1955
Certain mathematical problems on static models in general relativity. Zbl 0523.53051
Kobayashi, Osamu; Obata, Morio
1
1982
Conformally-flatness and static space-time. Zbl 0485.58020
Kobayashi, Osamu; Obata, Morio
12
1981
Minimal submanifolds and geodesics. Proceedings of the Japan-United States seminar on minimal submanifolds, including geodesics, Tokyo, 1977. Zbl 0423.00012
Obata, Morio (ed.)
1
1979
A non-compact Riemannian manifold admitting a transitive group of conformorphisms. Zbl 0284.53036
Obata, Morio
1
1973
Conformal changes of Riemannian metrics on a Euclidean sphere. Zbl 0243.53038
Obata, Morio
5
1972
Differential geometry, in honor of Kentaro Yano. Zbl 0242.00016
Kobayashi, S. (ed.); Obata, M. (ed.); Takahashi, T. (ed.)
1
1972
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0236.53042
Obata, Morio
160
1971
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0208.49903
Obata, M.
7
1971
Conformal transformations of Riemannian manifolds. Zbl 0205.52003
Obata, Morio
21
1970
Conformal changes of Riemannian metrics. Zbl 0203.54602
Yano, Kentaro; Obata, Morio
18
1970
Compact Riemannian manifolds with essential groups of conformorphisms. Zbl 0208.49902
Ledger, A. J.; Obata, Morio
4
1970
Conformally flat Riemannian manifolds admitting a one-parameter group of conformal transformations. Zbl 0205.52101
Obata, Morio
1
1970
The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature. Zbl 0181.49801
Obata, Morio
36
1968
Affine and Riemannian s-manifolds. Zbl 0177.24602
Ledger, A. J.; Obata, M.
28
1968
Quelques inégalités intégrales sur une variété riemannienne compacte. Zbl 0145.42302
Obata, Morio
4
1967
Riemannian manifolds admitting a solution of a certain system of differential equations. Zbl 0144.20903
Obata, Morio
17
1966
Sur le groupe de transformations conformes d’une variété de Riemann dont le scalaire de courbure est constant. Zbl 0137.41302
Yano, Kentaro; Obata, Morio
10
1965
Certain conditions for a Riemannian manifold to be isometric with a sphere. Zbl 0115.39302
Obata, Morio
250
1962
Conformal transformations of compact Riemannian manifolds. Zbl 0107.15703
Obata, Morio
9
1962
Hermitian manifolds with quaternion structure. Zbl 0093.35403
Obata, Morio
9
1958
On subgroups of the orthogonal group. Zbl 0080.02204
Obata, Morio
2
1958
Affine connections on manifolds with almost complex, quaternion or Hermitian structure. Zbl 0089.17203
Obata, Morio
63
1957
Affine connections in a quaternion manifold and transformations preserving the structure. Zbl 0080.15204
Obata, Morio
6
1957
Affine transformations in an almost complex manifold with a natural affine connection. Zbl 0073.38901
Obata, Morio
6
1956
Affine transformations in a Riemannian manifold. Zbl 0067.14602
Ishihara, Shigeru; Obata, Morio
8
1955
On \(n\)-dimensional homogeneous spaces of Lie groups of dimension greater than \({1\over 2}n(n-1)\). Zbl 0067.39701
Obata, Morio
6
1955
On a homogeneous space with invariant affine connection. Zbl 0068.36103
Ishihara, Shigeru; Obata, Morio
1
1955
On the group of conformal transformations of a Riemannian manifold. Zbl 0068.35805
Ishihara, Shigeru; Obata, Morio
1
1955
On manifolds which admit some affine connection. Zbl 0053.29801
Ishihara, Shigeru; Obata, Morio
6
1953
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Cited by 653 Authors

15 Deshmukh, Sharief
14 Yano, Kentaro
11 Hebey, Emmanuel
9 Ghosh, Amalendu
9 Li, YanYan
9 Ribeiro, Ernani jun.
8 Case, Jeffrey S.
8 Verbitsky, Misha
7 Chen, Zhiqi
7 Ishihara, Shigeru
7 Simon, Udo
7 Vétois, Jérôme
6 Frances, Charles
6 Hsiung, Chuan-Chih
6 Ivanov, Stefan P.
6 Matveev, Vladimir S.
6 Nikonorov, Yurii Gennadyevich
6 Pistoia, Angela
6 Rademacher, Hans-Bert
6 Rigoli, Marco
6 Swann, Andrew F.
6 Vassilev, Dimiter N.
5 Baltazar, Halyson I.
5 Barros, Abdênago A.
5 Chang, Sun-Yung Alice
5 García-Río, Eduardo
5 Gursky, Matthew J.
5 Hwang, Seungsu
5 Kröncke, Klaus
5 Kühnel, Wolfgang
5 Moroianu, Andrei
5 Tachibana, Shun-ichi
5 Tanno, Shukichi
5 Vaugon, Michel
5 Yun, Gabjin
4 Alesker, Semyon
4 Anderson, Michael T.
4 Chang, Shu-Cheng
4 Druet, Olivier
4 Hiramatu, Hitosi
4 Leandro, Benedito
4 Obata, Morio
4 Okumura, Masafumi
4 Petean, Jimmy
4 Piccione, Paolo
4 Poon, Yat Sun
4 Sharma, Ramesh
4 Ünal, Bülent
4 Viaclovsky, Jeff A.
4 Wakakuwa, Hidekiyo
3 Akutagawa, Kazuo
3 Ammann, Bernd Eberhard
3 Aquino, Cicero Pedro
3 Bakry, Dominique
3 Blair, David E.
3 Brozos-Vázquez, Miguel
3 Chanillo, Sagun
3 Dobarro, Fernando Ruben
3 Dragomir, Sorin
3 Gomes, José Nazareno Vieira
3 Hsu, Chen-Jung
3 Isaev, Alexander
3 Izeki, Hiroyasu
3 Kiessling, Michael Karl-Heinz
3 Kowalski, Oldřich
3 Lee, John M.
3 Leitner, Felipe
3 Li, Haizhong
3 Martelli, Dario
3 Patra, Dhriti Sundar
3 Pecastaing, Vincent
3 Pedersen, Henrik
3 Qing, Jie
3 Razavi, Asadollah
3 Reilly, Robert C.
3 Rosca, Radu M.
3 Salamon, Simon Montague
3 Sawaki, Sumio
3 Silva Filho, João F.
3 Sparks, James
3 Vanhecke, Lieven
3 Véron, Laurent
3 Xu, Hongwei
3 Yang, Paul C. P.
3 Yin, Songting
3 Yuan, Wei
2 Aino, Masayuki
2 Akbar-Zadeh, Hassan
2 Barberis, María Laura
2 Baudoin, Fabrice
2 Bektaṣ, Burcu
2 Bonifacio, James
2 Borghini, Stefano
2 Carron, Gilles
2 Chang, Jeongwook
2 Chen, Bang-Yen
2 Chiu, Hung-Lin
2 Colombo, Giulio
2 Dahl, Mattias
2 de Lima, Henrique F.
...and 553 more Authors
all top 5

Cited in 141 Serials

41 Tohoku Mathematical Journal. Second Series
32 Differential Geometry and its Applications
26 Journal of Geometry and Physics
24 Annals of Global Analysis and Geometry
23 The Journal of Geometric Analysis
23 Kodai Mathematical Seminar Reports
19 Mathematische Zeitschrift
18 Transactions of the American Mathematical Society
17 Proceedings of the American Mathematical Society
16 Mathematische Annalen
15 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Geometriae Dedicata
13 Advances in Mathematics
12 Communications in Mathematical Physics
12 Duke Mathematical Journal
12 Kodai Mathematical Journal
11 Journal of Differential Equations
10 Calculus of Variations and Partial Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Monatshefte für Mathematik
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Geometric and Functional Analysis. GAFA
6 Journal of Mathematical Analysis and Applications
6 Annales de l’Institut Fourier
6 Archiv der Mathematik
6 Results in Mathematics
6 Communications in Contemporary Mathematics
6 Bulletin of the American Mathematical Society
5 Israel Journal of Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal of Soviet Mathematics
5 Manuscripta Mathematica
5 Mathematische Nachrichten
5 International Journal of Geometric Methods in Modern Physics
4 Bulletin de la Société Mathématique de France
4 Pacific Journal of Mathematics
4 Mediterranean Journal of Mathematics
3 General Relativity and Gravitation
3 Journal of Mathematical Physics
3 Periodica Mathematica Hungarica
3 Czechoslovak Mathematical Journal
3 Journal of Functional Analysis
3 Journal of Geometry
3 Journal für die Reine und Angewandte Mathematik
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Journal of the American Mathematical Society
3 International Journal of Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Applied Mathematics. Series B (English Edition)
3 Transformation Groups
3 Journal of High Energy Physics
3 Advanced Nonlinear Studies
3 Bulletin of the Brazilian Mathematical Society. New Series
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Compositio Mathematica
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Siberian Mathematical Journal
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Journal of Lie Theory
2 Mathematical Physics, Analysis and Geometry
2 Proceedings of the Japan Academy
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Science China. Mathematics
2 Analysis and Mathematical Physics
2 Geometry
1 Classical and Quantum Gravity
1 Indian Journal of Pure & Applied Mathematics
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Anais da Academia Brasileira de Ciências
1 Annales Polonici Mathematici
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Michigan Mathematical Journal
1 Quaestiones Mathematicae
1 Tokyo Journal of Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Revista Matemática Iberoamericana
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
...and 41 more Serials

Citations by Year