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Research Article Open access CC BY 3.0

Paracontact Finsler Structures on Vector Bundles

Ahmet Kazan, H. Bayram Karadağ

Journal of Advances in Mathematics and Computer Science · pp. 3403–3426 · Published 1 Oct 2014

10.9734/BJMCS/2014/13466

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.

Vector Bundle Vertical Distribution Horizontal Distribution Finsler Connection Nijenhuis Tensor Field.

References (4)

  1. 1 Canonical connections on paracontact manifolds [DOI]
  2. 2 Handbook of Finsler Geometry [DOI]
  3. 3 Indefinite Almost Paracontact Metric Manifolds [DOI]
  4. 4 Sasakian Finsler manifolds [DOI]

Cited by 1

Vector Bundles and Paracontact Finsler Structures

E. Peyghan, E. Sharahi · Facta Universitatis Series Mathematics and Informatics · 2018

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