ON PSEUDO-SYMMETRY CURVATURE CONDITIONS OF GENERALIZED $(k,\mu)$-PARACONTACT METRIC MANIFOLDS

Authors : Sourav MAKHAL, U C DE

Pages : 239-247

View : 17 | Download : 7

Publication Date : 2017-10-15

Article Type : Research Paper

Abstract :In this paper we investigate Ricci pseudo-symmetric and  Ricci generalized pseudo-symmetric generalized $insert ignore into journalissuearticles values(k,\mu );$-paracontact metric manifolds. Besides this we characterize generalized $insert ignore into journalissuearticles values(k,\mu );$-paracontact metric manifolds satisfying the curvature conditions $Qinsert ignore into journalissuearticles values(S,R);=0$ and $Qinsert ignore into journalissuearticles values(S,g);=0$, where $S$, $R$ are the Ricci tensor and curvature tensor respectively. Several corollaries are also obtained.
Keywords : Generalized k, mu, paracontact metric manifold, Ricci pseudo symmetric manifold, Ricci generalized pseudo symmetric manifold, Einstein manifold