On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions

Authors : Pakize UYGUN, Mehmet ATÇEKEN

Pages : 16-22

View : 15 | Download : 8

Publication Date : 2021-08-30

Article Type : Research Paper

Abstract :In the present paper, we have studied the curvature tensors of insert ignore into journalissuearticles values(k, μ μ );-paracontact metric manifold satisfying the conditions ˜ Z insert ignore into journalissuearticles values( X , Y ); ⋅ R = 0 Z~insert ignore into journalissuearticles values(X,Y);⋅R=0 , ˜ Z Z~ , \ R insert ignore into journalissuearticles values( X , Y ); ⋅ ˜ Z = 0 Rinsert ignore into journalissuearticles values(X,Y);⋅Z~=0   and $Rinsert ignore into journalissuearticles values(X,Y);\cdot R=0$. According the cases, we have classified insert ignore into journalissuearticles values( k , μ k,μ );-paracontact metric manifolds.
Keywords : k, mu, paracontact manifold, eta Einstein manifold, concircular curvature tensor, Riemannian curvature tensor