Einstein like -para Sasakian manifolds

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 scala...

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Bibliographic Details
Published in:Kuwait journal of science 2013-09, Vol.40 (2)
Main Authors: SADIK KELES, EROL KILIC, MUKUT MANI TRIPATHI, SELCEN YÛKSEL PERKTAS
Format: Article
Language:English
Subjects:
Einstein like -para Sasakian manifold
indefinite locally Riemannian product manifold
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Summary: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.
ISSN:2307-4108
2307-4116