Some non-Riemannian curvature properties of general spherically symmetric Finsler metrics
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In this paper, we study some non-Riemannian curvature \linebreak properties of general spherically symmetric Finsler metrics. First, we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be weakly Berwaldian. Then we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be of isotropic Berwald curvature. Finally, we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be Landsbergian.
Abstract
In this paper, we study some non-Riemannian curvature \linebreak properties of general spherically symmetric Finsler metrics. First, we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be weakly Berwaldian. Then we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be of isotropic Berwald curvature. Finally, we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric be Landsbergian.