- Communications in Advanced Mathematical Sciences
- Vol: 5 Issue: 4
- Certain Curvature Conditions on $(k,\\mu )$-Paracontact Metric Spaces
Certain Curvature Conditions on $(k,\\mu )$-Paracontact Metric Spaces
Authors : Pakize Uygun, Süleyman Dirik, Mehmet Atçeken, Tuğba Mert
Pages : 161-169
Doi:10.33434/cams.1171815
View : 15 | Download : 7
Publication Date : 2022-12-30
Article Type : Research
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