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

Einstein spaces isometrically diffeomorphic to a sphere

  • Udo Simon
Article
Received:

Keywords

Number Theory Algebraic Geometry Topological Group Einstein Space 
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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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