Strong rigidity of constant curvature Finsler manifolds

A. Asanjarani; B. Bidabad

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arXiv · 0711.1587

Strong rigidity of constant curvature Finsler manifolds

A. Asanjarani·B. Bidabad

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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 homeomorphic to an $n$-sphere equipped with a certain Finsler metric, and vise versa.

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BibTeX RIS

A. Asanjarani, B. Bidabad. 2007-11-10. Strong rigidity of constant curvature Finsler manifolds. https://arxiv.org/abs/0711.1587

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