On Generalized m-th Root Finsler Metrics
Differential Geometry
2013-02-15 v1
Abstract
In this paper, we characterize locally dually flat generalized m-th root Finsler metrics. Then we find a condition under which a generalized m-th root metric is projectively related to a m-th root metric. Finally, we prove that if a generalized m-th root metric is conformal to a m-th root metric, then both of them reduce to Riemannian metrics.
Cite
@article{arxiv.1302.3256,
title = {On Generalized m-th Root Finsler Metrics},
author = {A. Tayebi and E. Peyghan and M. Shahbazi},
journal= {arXiv preprint arXiv:1302.3256},
year = {2013}
}