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The conjectures on conformal transformations of Riemannian manifolds


Author: Morio Obata
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
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  • 1. A. Avez, Transformations conformes des variétés riemanniennes compactes, C. R. Acad. Sci. Paris 259 (1964), 4469-4472. MR 31 #1635. MR 177372
  • 2. B. Ba, Structures presque complexe, structures conformes et dérivations, Topologie et Géométrie Différentielle, vol. 8, Centre Nationale Recherche Sci., Paris, 1966. MR 37 #5809. MR 230246
  • 3. A. J. Ledger and M. Obata, Compact riemannian manifolds with essential groups of conformorphisms, Trans. Amer. Math. Soc. 150 (1970), 645-651. MR 262971
  • 4. J. Lelong-Ferrand, Transformations conformes et quasi-conformes des variétés riemanniennes; application à la demonstration d'une conjecture de A. Lichnerowicz, C. R. Acad. Sci. Paris 269 (1969), 583-586. MR 254782
  • 5. A. Lichnerowicz, Géométrie des groupes de transformations. Travaux et Recherches Mathematiques, III, Dunod, Paris, 1958. MR 23 #A1329. MR 124009
  • 6. T. Nagano, On conformal transformations of Riemannian spaces, J. Math. Soc. Japan 10 (1958), 79-93. MR 22 #1859. MR 110991
  • 7. M. Obata, Conformal transformations of compact Riemannian manifolds, Illinois J. Math. 6 (1962), 292-295. MR 25 #1507. MR 138059
  • 8. M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), 333-340. MR 25 #5479. MR 142086
  • 9. M. Obata, Conformal transformations of Riemannian manifolds, J. Differential Geometry 4 (1970), 311-333. MR 267485
  • 10. M. Obata, Conformally flat Riemannian manifolds admitting a one-parameter group of conformal transformations, J. Differential Geometry 4 (1970), 335-337. MR 267486
  • 11. K. Yano and M. 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. MR 31 #697. MR 176425
  • 12. K. Yano and M. Obata, On conformal changes of Riemannian metrics, J. Differential Geometry 4 (1970), 53-72. MR 261500

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DOI: https://doi.org/10.1090/S0002-9904-1971-12713-1

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