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

TL;DR

This paper investigates the conditions under which locally -symmetric LP-Sasakian manifolds with semi-symmetric metric connections are equivalent to those with Levi-Civita connections, enhancing understanding of their geometric structure.

Contribution

It provides a necessary and sufficient condition linking semi-symmetric metric connections to Levi-Civita connections in locally -symmetric LP-Sasakian manifolds.

Findings

Derived a condition for local -symmetry with semi-symmetric metric connection

Established equivalence criteria between semi-symmetric and Levi-Civita connections

Extended geometric understanding of LP-Sasakian manifolds

Abstract

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