Einstein like $(\varepsilon)$-para Sasakian manifolds
Differential Geometry
2012-03-05 v1 Mathematical Physics
math.MP
Abstract
Einstein like -para Sasakian manifolds are introduced. For an -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 -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 -almost paracontact metric hypersurface of an indefinite locally Riemannian product manifold to be -para Sasakian is obtained and it is proved that the -para Sasakian hypersurface of an indefinite locally Riemannian product manifold of almost constant curvature is always Einstein like.
Cite
@article{arxiv.1203.0378,
title = {Einstein like $(\varepsilon)$-para Sasakian manifolds},
author = {Sadik Keleş and Erol Kiliç and Mukut Mani Tripathi and Selcen Yüksel Perktaş},
journal= {arXiv preprint arXiv:1203.0378},
year = {2012}
}