On Quasi Conformally Flat LP-Sasakian Manifolds with a Coefficient α

The aim of the present paper is to study properties of
Quasi conformally flat LP-Sasakian manifolds with a coefficient α.
In this paper, we prove that a Quasi conformally flat LP-Sasakian
manifold M (n > 3) with a constant coefficient α is an η−Einstein
and in a quasi conformally flat LP-Sasakian manifold M (n > 3)
with a constant coefficient α if the scalar curvature tensor is constant
then M is of constant curvature.

Authors:

• Jay Prakash Singh

Keywords:

• LP-Sasakian manifolds
• coefficient α
• quasi conformal curvature tensor
• concircular vector field
• torse forming vector field
• η-Einstein manifold.

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