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arXiv · 1706.08854

General $(\alpha, \beta)$ metrics with relatively isotroic mean Landsberg curvature

A. Ala·A. Behzadi·M. Rafiei-Rad
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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.

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A. Ala, A. Behzadi, M. Rafiei-Rad. 2017-06-27. General $(\alpha, \beta)$ metrics with relatively isotroic mean Landsberg curvature. https://arxiv.org/abs/1706.08854

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