K. K. Baishya, S. Eyasmin, A. A. Shaikh, “On $\phi$-recurrent generalized $(k,\mu)$-contact metric manifolds”, Lobachevskii J. Math., 2007, Volume 27,Pages 3

On $\phi$-recurrent generalized $(k,\mu)$-contact metric manifolds

K. K. Baishya, S. Eyasmin, A. A. Shaikh

University of Burdwan

Abstract: The aim of the present paper is to introduce a type of contact metric manifolds called $\phi$-recurrent generalized $(k,\mu)$-contact metric manifolds and to study their geometric properties. The existence of such manifolds is ensured by a non-trivial example.

Keywords: $(k,\mu)$-contact metric manifold, generalized $(k,\mu)$-contact metric manifold, locally $\phi$-symmetric and locally $\phi$-recurrent $(k,\mu)$-contact metric manifold.

Submitted by: M. A. Malakhaltsev
Received: 09.06.2007

Language: English