$\mathcal{Z}$-symmetries of $(\epsilon)$-para-Sasakian 3-manifolds

Abstract

The object of this paper is study (ε)-para-Sasakian 3-manifolds satisfying certain conditions on the Z tensor. We characterize: Z-symmetric, Z-semisymmetric, Z-pseudosymmetric, and projectively Z-semisymmetric conditions on an (ε)-para-Sasakian 3-manifold.