On Special Berwald Metrics
Differential Geometry
2010-01-21 v1
Abstract
In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this class of Finsler metrics, the notion of Landsberg and weakly Landsberg curvature are equivalent.
Keywords
Cite
@article{arxiv.1001.3654,
title = {On Special Berwald Metrics},
author = {Akbar Tayebi and Esmaeil Peyghan},
journal= {arXiv preprint arXiv:1001.3654},
year = {2010}
}