Generalized P-Reducible Finsler Metrics
Differential Geometry
2013-05-22 v1
Abstract
In this paper, we study a class of Finsler metrics which contains the class of P-reducible metrics. Finsler metrics in this class are called generalized P-reducible metrics. We consider generalized P-reducible metrics with scalar flag curvature and find a condition under which these metrics reduce to C-reducible metrics. This generalize Matsumotos theorem, which describes the equivalency of C-reducibility and P-reducibility on Finsler manifolds with scalar curvature. Then we show that generalized P-reducible metrics with vanishing stretch curvature are C-reducible.
Keywords
Cite
@article{arxiv.1305.4629,
title = {Generalized P-Reducible Finsler Metrics},
author = {E. Peyghan and A. Tayebi and A. Heydari},
journal= {arXiv preprint arXiv:1305.4629},
year = {2013}
}