Special Finsler spaces admitting a semi-concurrent vector field
Differential Geometry
2024-11-12 v1
Abstract
The main objective of this paper is to study semi-concurrent vector fields on a Finsler manifold. We show that the quasi--reducible Finsler space, -like Finsler space, -recurrent Finsler space, and -like Finsler space are equivalent to Riemannian if they admit a semi-concurrent vector field. Further, we prove the necessary and sufficient condition for a Finsler space satisfying -conformal condition to become Riemannian.
Keywords
Cite
@article{arxiv.2411.06233,
title = {Special Finsler spaces admitting a semi-concurrent vector field},
author = {M. R. Rajeshwari and S. K. Narasimhamurthy and H. M. Manjunatha},
journal= {arXiv preprint arXiv:2411.06233},
year = {2024}
}