On generalized weakly (Ricci) $\phi $-symmetric Lorentzian Para Sasakian manifold

Abstract

The present paper attempt to introduce the notion of generalized weakly φ-symmetric and generalized weakly Ricci φ-symmetric Lorentzian Para Sasakian manifold. Furthermore, we have studied generalized weakly φ-symmetric Lorentzian Para-Sasakian spacetimes. In addition, the existence of generalized weakly φ-symmetric Lorentzian Para Sasakian manifold is ensured by a suitable example. AMS Mathematics Subject Classification (2010): 53C15; 53C25