On Cartan Spaces with m-th Root Metrics
Differential Geometry
2013-02-15 v1
Abstract
In this paper, we define some non-Riemannian curvature properties for Cartan spaces. We consider Cartan space with the m-th root metric. We prove that every m-th root Cartan space of isotropic Landsberg curvature, or isotropic mean Landsberg curvature, or isotropic mean Berwald curvature reduces to a Landsberg, weakly Landsberg and weakly Berwald space, respectively. Then we show that m-th root Cartan space of almost vanishing H-curvature satisfies H = 0.
Keywords
Cite
@article{arxiv.1302.3272,
title = {On Cartan Spaces with m-th Root Metrics},
author = {A. Tayebi and A. Nankali and E. Peyghan},
journal= {arXiv preprint arXiv:1302.3272},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:0802.2887 by other authors