General $(\alpha, \beta)$ metrics with relatively isotroic mean Landsberg curvature
Differential Geometry
2017-06-28 v1
Abstract
In this paper, we study a new class of Finsler metrics, F=\alpha\phi(b^2,s), s:=\beta/\alpha, defined by a Riemannian metric \alpha and 1-form \beta. It is called general (\alpha, \beta) metric. In this paper, we assume \phi be coefficient by s and \beta be closed and conformal. We find a nessecary and sufficient condition for the metric of relatively isotropic mean Landsberg curvature to be Berwald.
Keywords
Cite
@article{arxiv.1706.08854,
title = {General $(\alpha, \beta)$ metrics with relatively isotroic mean Landsberg curvature},
author = {A. Ala and A. Behzadi and M. Rafiei-Rad},
journal= {arXiv preprint arXiv:1706.08854},
year = {2017}
}