Certain Curvature Conditions on $(k,\mu )$-Paracontact Metric Spaces

Year 2022, Volume: 5 Issue: 4, 161 - 169, 30.12.2022

Pakize Uygun , Süleyman Dirik , Mehmet Atçeken , Tuğba Mert

https://doi.org/10.33434/cams.1171815

Abstract

The aim of this paper is to classify $(k,\mu)$-paracontact metric spaces satisfying certain curvature conditions. We present the curvature tensors of (k,$\mu $)-Paracontact manifold satisfying the conditions $R\cdot W_{6}=0$, $ R\cdot W_{7}=0$, $R\cdot W_{8}=0$ and $R\cdot W_{9}=0$. According these cases, $(k,\mu)$-Paracontact manifolds have been characterized. Also, several results are obtained.

Keywords

(k.mu)-paracontact manifold, eta-Einstein manifold, Riemannian curvature tensor

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