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manuscripta mathematica

, Volume 22, Issue 1, pp 1–5 | Cite as

Einstein spaces isometrically diffeomorphic to a sphere

  • Udo Simon
Article

Keywords

Number Theory Algebraic Geometry Topological Group Einstein Space 
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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References

  1. [1]
    S. Kobayashi and K. Nomizu: Foundations of Differential Geometry I, II. Interscience Publishers. New York, London, 1963, 1969.Google Scholar
  2. [2]
    Obata, M.: Certain conditions for a Riemannian manifold to be isometric with a sphere. J. Math. Soc. Japan 14, 333–340 (1962).Google Scholar
  3. [3]
    Simon, U.: Isometries with spheres. To appear in Mathematische Zeitschrift.Google Scholar
  4. [4]
    Simon, U.: A further method in global differential geometry. Abh. Math. Sem. Hamburg 44, 52–69 (1975).Google Scholar
  5. [5]
    Yano, K. and Nagano, T.: Einstein spaces admitting a one-parameter group of conformal transformations. Annals of Math. 69, 451–461 (1959).Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Udo Simon
    • 1
  1. 1.Fachbereich Mathematik der Technischen UniversitätBerlin 12

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