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 |
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| 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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