Finsler Metrics with Bounded Cartan Torsions
Differential Geometry
2013-02-15 v1
Abstract
The norm of Cartan torsion plays an important role for studying of immersion theory in Finsler geometry. Indeed, Finsler manifold with unbounded Cartan torsion can not be isometrically imbedded into any Minkowski space. In this paper, we find two subclasses of (?, ?)-metrics which have bounded Cartan torsion. Then, we give two subclasses of (?, ?)-metrics whose bound on the Cartan torsions are independent of the norm of ?.
Keywords
Cite
@article{arxiv.1302.3255,
title = {Finsler Metrics with Bounded Cartan Torsions},
author = {A. Tayebi and H. Sadeghi and E. Peyghan},
journal= {arXiv preprint arXiv:1302.3255},
year = {2013}
}