Berwald spaces of bounded curvature are Riemannian

Nathaphon Boonnam; Rattanasak Hama; Sorin V. Sabau

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arXiv · 1808.02999

Berwald spaces of bounded curvature are Riemannian

Nathaphon Boonnam·Rattanasak Hama·Sorin V. Sabau

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Abstract

We prove that Berwald spaces whose flag curvature is nowhere vanishing are in fact Riemannian spaces. This means that any Berwald space with flag curvature bounded below by a positive number must be also Riemannian. This rigidity result shows the importance of non-Riemannian examples when imposing flag curvature bounds on Finsler spaces.

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BibTeX RIS

Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau. 2018-08-09. Berwald spaces of bounded curvature are Riemannian. https://arxiv.org/abs/1808.02999

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