The Conharmonic Curvature Tensor on $N(\kappa)$-Paracontact Metric Manifold

Year 2020, Volume: 8 Issue: 2, 287 - 293, 27.10.2020

K K Mirji , Prakasha D. G.

Abstract

The object of the paper is to study $N(k)$-paracontact metric manifolds satisfying certain curvature conditions on conharmonic curvature tensor. Specially, we study the symmetric properties of conharmonic curvature tensor on $N(k)$-paracontact metric manifolds such as conharmonically $\varphi$-symmetric, 3-dimensional locally conharmonically $\varphi$-symmetric $N(k)$-paracontact metric manifolds and $\varphi$-conharmonically semisymmetric $N(k)$-paracontact metric manifolds and get some new results.

Keywords

N(κ)-paracontact metric manifolds , Conharmonic curvature tensor , Einstein manifolds

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