Author/Authors :
KELES, SADIK Inonu University - Department of Mathematics, Turkey , KILiC, EROL Inonu University - Department of Mathematics, Turkey , TRIPATHI, MUKUT MANI Banaras Hindu University - Department of Mathematics, India , PERKTAS, SELCEN YUKSEL Adiyaman University - Department of Mathematics, Turkey
Abstract :
Einstein like (ε)-para Sasakian manifolds are introduced. For an (ε)-para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained. The scalar curvature of an Einstein like (ε)-para Sasakian manifold is obtained and it is shown that the scalar curvature in this case must satisfy certain differential equation. A necessary and sufficient condition for an (ε)-almost paracontact metric hypersurface of an indefinite locally Riemannian product manifold to be (ε)-para Sasakian is obtained and it is proved that the (ε)-para Sasakian hypersurface of an indefinite locally Riemannian product manifold of almost constant curvature is always Einstein like.
