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A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS

  • Yildiz, Ahmet (Art and Science Faculty Department of Mathematics Dumlupinar University) ;
  • De, Uday Chand (Department of Pure Mathematics University of Calcutta)
  • Received : 2010.12.16
  • Published : 2012.04.30
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Abstract

In this paper we study $h$-projectively semisymmetric, ${\phi}$-pro-jectively semisymmetric, $h$-Weyl semisymmetric and ${\phi}$-Weyl semisym- metric non-Sasakian ($k$, ${\mu}$)-contact metric manifolds. In all the cases the manifold becomes an ${\eta}$-Einstein manifold. As a consequence of these results we obtain that if a 3-dimensional non-Sasakian ($k$, ${\mu}$)-contact metric manifold satisfies such curvature conditions, then the manifold reduces to an N($k$)-contact metric manifold.

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References

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