Abstract

The object of the present paper is to characterize -contact metric manifolds satisfying certain curvature conditions on the conharmonic curvature tensor. In this paper we study conharmonically symmetric, -conharmonically flat, and -conharmonically flat -contact metric manifolds.

Highlights

  • Let M and M be two Riemannian manifolds with g and g being their respective metric tensors related through g X, Y e2σg X, Y, 1.1 where σ is a real function

  • In this paper we study conharmonically symmetric, ξ-conharmonically flat, and φ-conharmonically flat N k -contact metric manifolds

  • The condition under which a harmonic function remains invariant have been studied by Ishii 2 who introduced the conharmonic transformation as a subgroup of the conformal transformation 1.1 satisfying the condition σ,ii σ,iσ,i 0, 1.2 where comma denotes the covariant differentiation with respect to the metric g

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Summary

Research Article

In this paper we study conharmonically symmetric, ξ-conharmonically flat, and φ-conharmonically flat N k -contact metric manifolds

Introduction
ISRN Geometry
Therefore we have
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