The Landsberg curvature of the class of spherically symmetric Finsler metrics

In this paper, we study the Landsberg curvature of the class of spherically symmetric Finsler metrics. We find the necessary and sufficient condition under which a spherically symmetric Finsler metric of dimension [Formula: see text] has relatively isotropic Landsberg curvature. This yields an extension of Mo–Zhou and Elgendi’s results that proved for the spherically symmetric Finsler metric with vanishing Landsberg curvature. Finally, we characterize spherically symmetric Finsler metrics with vanishing stretch curvature.