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A Class of Finsler Metrics with Bounded Cartan Torsion

Published:2009-12-04
Printed: Mar 2010
• Xiaohuan Mo
• Linfeng Zhou
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Abstract

In this paper, we find a class of $(\alpha,\beta)$ metrics which have a bounded Cartan torsion. This class contains all Randers metrics. Furthermore, we give some applications and obtain two corollaries about curvature of this metrics.
 Keywords: Finsler manifold, $(\alpha, \beta)$ metric, Cartan torsion, R-quadratic, flag curvature
 MSC Classifications: 58E20 - Harmonic maps [See also 53C43], etc.

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