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Isometry of Riemannian manifolds to spheres

  • Lynn L. Ackler
  • Chuan-Chih Hsiung
Article

Summary

Some known conditions for a compact Riemannian n-manifold Mn, n>2, which has constant scalar curvature R and admits an infinitesimal nonisometric conformal transformation, to be isometric to an n-sphere are generalized to manifolds with nonconstant R.

Keywords

Riemannian Manifold Scalar Curvature Conformal Transformation Constant Scalar Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Nicola Zanichelli Editore 1974

Authors and Affiliations

  • Lynn L. Ackler
    • 1
  • Chuan-Chih Hsiung
    • 2
  1. 1.Fitchburg
  2. 2.Bethlehem

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