A New Type of (ϵ)- Lorentzian Para-Sasakian Manifolds

Abstract

The current investigation commences by introducing a novel category termed (ϵ)-Lorentzian para-Sasakian manifolds, employing the generalized symmetric metric connection of a specific type(α,β). Several fundamental outcomes concerning with these manifolds are derived. Subsequently, we delve into the examination of conformally flat and Weyl-semi-symmetric (ϵ)-Lorentzian para-Sasakian manifolds, utilizing the generalized symmetric metric connection of the type(α,β).