Strong rigidity of constant curvature Finsler manifolds ∗

  • Asanjarani A. Bidabad B. Amirkabir

Abstract

Here, an extension of the Obata-Tanno's theorem to Finsler geometry is established and the following rigidity result is obtained; Every complete connected Finsler manifold of positive constant flag curvature is isometrically homeomor-phic to an n-sphere equipped with a certain Finsler metric, and vise versa. 

Topics

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