pith. sign in

arxiv: 1302.0647 · v1 · pith:GO546KCVnew · submitted 2013-02-04 · 🧮 math.DG

Almost Paracontact Finsler Structures on Vector Bundle

classification 🧮 math.DG
keywords finslerstructuresdefineparacontactverticalalmostcurvatureflag
0
0 comments X
read the original abstract

In this paper, we define almost paracontact and normal almost paracontact Finsler structures on a vector bundle and find some conditions for integrability of these structures. We define paracontact metric, para- Sasakian and K-paracontact Finsler structures and study some properties of these structures. For a K-paracontact Finsler structure, we find the vertical and horizontal flag curvatures. Then, we define vertical ?-flag curvature and prove that every locally symmetric para-Sasakian Finsler structure has negative vertical ?-flag curvature. Finally, we define the horizontal and vertical Ricci tensors of a para-Sasakian Finsler structure and study some curvature properties of them.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.