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

Authors : Pakize UYGUN, Süleyman DİRİK, Mehmet ATÇEKEN, Tuğba MERT

Pages : 161-169

Doi:10.33434/cams.1171815

View : 29 | Download : 7

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :The aim of this paper is to classify $insert ignore into journalissuearticles values(k,\\mu);$-paracontact metric spaces satisfying certain curvature conditions. We present the curvature tensors of insert ignore into journalissuearticles values(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, $insert ignore into journalissuearticles values(k,\\mu);$-Paracontact manifolds have been characterized. Also, several results are obtained.
Keywords : k mu, paracontact manifold, eta Einstein manifold, Riemannian curvature tensor