Canad. Math. Bull. 53(2010), 122-132
Printed: Mar 2010
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.
Finsler manifold, $(\alpha, \beta)$ metric, Cartan torsion, R-quadratic, flag curvature
58E20 - Harmonic maps [See also 53C43], etc.