The conjectures on conformal transformations of Riemannian manifolds
HTML articles powered by AMS MathViewer
- by Morio Obata PDF
- Bull. Amer. Math. Soc. 77 (1971), 265-270
References
- André Avez, Transformations conformes des variétés riemanniennes compactes, C. R. Acad. Sci. Paris 259 (1964), 4469–4472 (French). MR 177372
- Boubakar Ba, Structures presque complexes, structures conformes et dérivations, Topologie et Géométrie Différentielle, Vol. 8, Centre National de la Recherche Scientifique, Paris, 1966, pp. 74 (French). MR 0230246
- A. J. Ledger and Morio Obata, Compact riemannian manifolds with essential groups of conformorphisms, Trans. Amer. Math. Soc. 150 (1970), 645–651. MR 262971, DOI 10.1090/S0002-9947-1970-0262971-1
- Jacqueline Lelong-Ferrand, Transformations conformes et quasiconformes des variétés riemanniennes; application à la démonstration d’une conjecture de A. Lichnerowicz, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A583–A586 (French). MR 254782
- André Lichnerowicz, Géométrie des groupes de transformations, Travaux et Recherches Mathématiques, III, Dunod, Paris, 1958 (French). MR 0124009
- Tadashi Nagano, On conformal transformations of Riemannian spaces, J. Math. Soc. Japan 10 (1958), 79–93. MR 110991, DOI 10.2969/jmsj/01010079
- Morio Obata, Conformal transformations of compact Riemannian manifolds, Illinois J. Math. 6 (1962), 292–295. MR 138059
- Morio Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), 333–340. MR 142086, DOI 10.2969/jmsj/01430333
- Morio Obata, Conformal transformations of Riemannian manifolds, J. Differential Geometry 4 (1970), 311–333. MR 267485
- Morio Obata, Conformally flat Riemannian manifolds admitting a one-parameter group of conformal transformations, J. Differential Geometry 4 (1970), 335–337. MR 267486
- Kentaro Yano and Morio Obata, Sur le groupe de transformations conformes d’une variété de Riemann dont le scalaire de courbure est constant, C. R. Acad. Sci. Paris 260 (1965), 2698–2700 (French). MR 176425
- Kentaro Yano and Morio Obata, Conformal changes of Riemannian metrics, J. Differential Geometry 4 (1970), 53–72. MR 261500
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 265-270
- MSC (1970): Primary 5372, 5325; Secondary 5747
- DOI: https://doi.org/10.1090/S0002-9904-1971-12713-1
- MathSciNet review: 0270397