Finsler metrics with bounded Cartan torsion

Document Type : Original Article


Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran E-mail:


The norm of Cartan torsion plays an important role for studying of immersion theory in
Finsler geometry. In this paper, we find necessary and sufficient condition under which
a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold
has bounded Cartan torsion.