On the norm of Cartan torsion of two classes of (α, β)−metrics

Document Type : Original Article


Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran E-mail: tr rajabi@yahoo.com


Z. Shen proved that Finsler manifold with unbounded Cartan torsion can not be isometrically imbedded into any Minkowski space. This shows that the norm of Cartan torsion of Finsler metrics has an essential role for studying of immersion theory in Finsler geometry. In this paper, we study the norm of Cartan torsion of Ingarden-Tàmassy and Arctangent Finsler metrics that are special (α, β)-metrics.