On Landsberg and Mean Landsberg Curvatures of Two-Dimensional Finsler Manifolds

Document Type : Original Article

Author
Akbar Tayebi
Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran
10.22034/maco.5.1.1
Abstract
In this paper, we  study the Landsberg and mean Landsberg curvatures of two-dimensional Finsler manifolds. First, we prove that a two-dimensional Finsler metric  is a generalized Landsberg metric if and only if it is a stretch metric. Then, we study Finsler surfaces with  isotropic main scalar and find the necessary and sufficient condition under which these spaces has vanishing ${bf tilde J}$-curvature.

Keywords

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