Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON KENMOTSU MANIFOLDS

  • JUN JAE-BOK (Department of Mathematics College of Natural Science Kookmin University) ;
  • DE UDAY CHAND (Department of Mathematics University of Kalyani) ;
  • PATHAK GOUTAM (Department of Mathematics University of Kalyani)
  • Published : 2005.05.01
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Abstract

The purpose of this paper is to study a Kenmotsu manifold which is derived from the almost contact Riemannian manifold with some special conditions. In general, we have some relations about semi-symmetric, Ricci semi-symmetric or Weyl semisymmetric conditions in Riemannian manifolds. In this paper, we partially classify the Kenmotsu manifold and consider the manifold admitting a transformation which keeps Riemannian curvature tensor and Ricci tensor invariant.

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References

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