University of Debrecen
Abstract: In this paper we take a close look at Lie derivatives on a Finsler bundle and give a geometric meaning to the vanishing of the mixed curvature of certain covariant derivatives on a Finsler bundle. As an application, we obtain some characterizations of Landsberg manifolds.
Keywords: Lie derivative, parallel translation, mixed curvature, Finsler bundle, Landsberg manifold.
Classification (MSC2000): 53B40
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