Einstein like $(\varepsilon)$-para Sasakian manifolds

Details Einstein like $(\varepsilon)$-para Sasakian manifolds Einstein like $(\varepsilon)$-para Sasakian manifolds

2012-03-02

arxiv.org/abs/1203.0378v1

Mathematics

Differential Geometry

Scientific paper

Einstein like $(\varepsilon)$-para Sasakian manifolds are introduced. For an $(\varepsilon) $-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 $(\varepsilon) $-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 $(\varepsilon) $-almost paracontact metric hypersurface of an indefinite locally Riemannian product manifold to be $(\varepsilon) $-para Sasakian is obtained and it is proved that the $(\varepsilon) $-para Sasakian hypersurface of an indefinite locally Riemannian product manifold of almost constant curvature is always Einstein like.

Affiliated with

Also associated with

No associations

Rating

Einstein like $(\varepsilon)$-para Sasakian manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Einstein like $(\varepsilon)$-para Sasakian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Einstein like $(\varepsilon)$-para Sasakian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165967