Some Semisymmetry Curvature Conditions on Paracontact Metric (k,\mu)-Manifolds

Year 2020, Volume: 1 Issue: 2, 95 - 107, 30.07.2020

Ahmet Yıldız

Abstract

The aim of the article is to study paracontact metric $(k,\mu)$-manifolds satisfying some semisymmetry curvature conditions. Also, we show that if a paracontact metric $(k,\mu)$-manifold is Ricci pseudo-symmetric then it is an Einstein manifold provided $k\neq 1$.                                                                                                                                                                                                                                                                                                                                                                         

Keywords

Paracontact metric (k;)-manifolds , h-projectively semisymmetry , -projectively semisymmetry , Ricci pseudo-symmetry

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