In this paper, we study the Landsberg curvature of the class of spherically symmetricFinsler metrics. We find the necessary and sufficient condition under which a spherically symmetric Finsler metric of dimension n ≥ 3 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.
