On $\varphi$-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection

Abstract

The object of the present paper is to study locally $\varphi$-symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally $\varphi$-symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally $\varphi$-symmetric LP-Sasakian manifold with respect to Levi-Civita connection.

The paper contains 16 pages. The paper have been already submitted to a journal on 24th December, 2014