Almost Paracontact Finsler Structures on Vector Bundle
Differential Geometry
2013-02-05 v1
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.
Cite
@article{arxiv.1302.0647,
title = {Almost Paracontact Finsler Structures on Vector Bundle},
author = {E. Peyghan and A. Tayebi and E. Sharahi},
journal= {arXiv preprint arXiv:1302.0647},
year = {2013}
}