Mohammad ShahbaziNia - Faculty of Science, Department of Mathematics University of Qom, Qom. Iran

Every Landsberg metric and every Landsbeg metric is a weakly Landsberg metric, but the converse is not true generally. Let (M, F) be a ۳-dimensional Finsler manifold. In this paper, we find a condition under which the notions of weakly Landsberg metric and Landsberg metric are equivalent.

Moor frame, weakly Landsberg metric, Landsberg metric, Berwald metric, Randers metric