On φ-pseudo symmetric LP-Sasakian manifolds with respect to quarter-symmetric non-metric connections

Abstract

The object of the present paper is to study φ-pseudo symmetric and φ-pseudo Ricci symmetric LP-Sasakian manifolds with respect to Levi–Civita connections and quarter-symmetric non-metric connections. We obtain a necessary and sufficient condition for a φ-pseudo symmetric LP-Sasakian manifold with respect to a quarter symmetric non-metric connection to be φ-pseudo symmetric LP-Sasakian manifold with respect to a Levi–Civita connection.