Published January 1, 2013 | Version v1
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Einstein like (epsilon)-para Sasakian manifolds

  • 1. Inonu Univ, Dept Math, Malatya, Turkey
  • 2. Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India
  • 3. Adiyaman Univ, Dept Math, Adiyaman, Turkey

Description

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

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