Conformally flat cosymplectic manifolds

  • Kim, Byung-Hak (Department of Mathematics and Institute of Natural Science, Kyung Hee University) ;
  • Kim, In-Bae (Department of Mathematics and Institute of Natural Science, Kyung Hee University)
  • Published : 1997.10.01

Abstract

We proved that if a fibred Riemannian space $\tilde{M}$ with cosymplectic structure is conformally flat, then $\tilde{M}$ is the locally product manifold of locally Euclidean spaces, that is locally Euclidean. Moreover, we investigated the fibred Riemannian space with cosymplectic structure when the Riemannian metric $\tilde{g}$ on $\tilde{M}$ is Einstein.

Keywords

References

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