Paracontact Finsler Structures on Vector Bundles

Abstract

In this paper, we study the almost paracontact, almost paracontact metric, paracontact metric, K-paracontact and para-Sasakian Finsler structures on vector bundles and give some characterizations for these geometric structures. Also, the curvature of a paracontact Finsler manifold is given and some results for Ricci semi-symmetric para-Sasakian Finsler manifolds and para-Sasakian Finsler manifolds with η-parallel Ricci tensor are obtained with the aid of Ricci tensor and scalar curvature of Finsler structure.