Concircular $\pi$-Vector Fields and Special Finsler Spaces
Differential Geometry
2013-04-29 v3 General Relativity and Quantum Cosmology
Abstract
The aim of the present paper is to investigate intrinsically the notion of a concircular -vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of a concurrent vector field in Finsler geometry. Some properties of concircular -vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular -vector field on some important special Finsler spaces is investigated. The whole work is formulated in a coordinate-free form.
Keywords
Cite
@article{arxiv.1208.2838,
title = {Concircular $\pi$-Vector Fields and Special Finsler Spaces},
author = {Nabil L. Youssef and A. Soleiman},
journal= {arXiv preprint arXiv:1208.2838},
year = {2013}
}
Comments
laTeX file, 18 pages, some typos corrected, some proofs added, concluding summary added at the end of the paper. arXiv admin note: text overlap with arXiv:0805.2599