Annali di Matematica Pura ed Applicata

, Volume 119, Issue 1, pp 273–280 | Cite as

The cohomology groups of a special Einstein manifold

  • Grigorios Tsagas


We consider a compact orientable Einstein manifold of even dimension n=2m, which is k-pinched. If k>[m(m−1) 2 (2m−1) 2 (2m−1)+3], then there exists no element, different from zero of the H 2 (M,R) such that its exterior m-power belongs to a zero class. This result has some applications to the topological product of manifold.


Cohomology Group Einstein Manifold Topological Product Zero Class 
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

© Fondazione Annali di Matematika Pura ed Applicata 1979

Authors and Affiliations

  • Grigorios Tsagas
    • 1
  1. 1.ThessalonikiGreece

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