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Bulletin of the American Mathematical Society

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Conformality and isometry of Riemannian manifolds to spheres


Authors: Chuan-Chih Hsiung and Louis W. Stern
Journal: Bull. Amer. Math. Soc. 76 (1970), 1253-1256
MSC (1970): Primary 5325, 5372; Secondary 5747
MathSciNet review: 0267484
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  • 1. Chuan-chih Hsiung, On the group of conformal transformations of a compact Riemannian manifold, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1509–1513. MR 0188945
  • 2. Chuan-chih Hsiung and Larry R. Mugridge, Conformal changes of metrics on a Riemannian manifold, Math. Z. 119 (1971), 179–187. MR 0279735
  • 3. André Lichnerowicz, Sur les transformations conformes d’une variété riemannienne compacte, C. R. Acad. Sci. Paris 259 (1964), 697–700 (Italian). MR 0166734
  • 4. Kentaro Yano, On Riemannian manifolds admitting an infinitesimal conformal transformation, Math. Z. 113 (1970), 205–214. MR 0261501
  • 5. 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 0176425
  • 6. Kentaro Yano and Morio Obata, Conformal changes of Riemannian metrics, J. Differential Geometry 4 (1970), 53–72. MR 0261500

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DOI: https://doi.org/10.1090/S0002-9904-1970-12625-8