REAL

Berwald spaces of bounded curvature are Riemannian

Boonnam, Nathaphon and Hama, Rattanasak and Sabau, Sorin V. (2017) Berwald spaces of bounded curvature are Riemannian. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 33 (2). pp. 339-347. ISSN 0866-0174

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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.

Item Type: Article
Uncontrolled Keywords: Finsler manifolds, Berwald manifolds, holonomy group, Maximal diameter sphere theorem
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 07 Feb 2024 09:36
Last Modified: 07 Feb 2024 09:36
URI: http://real.mtak.hu/id/eprint/187751

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