There exist no locally symmetric Finsler spaces of positive or negative flag curvature

Vladimir S. Matveev

doi:10.1016/j.crma.2014.10.022

Differential geometry

There exist no locally symmetric Finsler spaces of positive or negative flag curvature

Presented by: Étienne Ghys

Vladimir S. Matveev ¹

¹ Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany

Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 81-83.

Abstract
Résumé

We show that the results of Foulon [5,6] and Kim [7] (independently, of Deng and Hou [4]) about the nonexistence of locally symmetric Finsler metrics of positive or negative flag curvature are in fact local.

Nous montrons que les résultats de Foulon [5,6] et de Kim [7] (et indépendamment, de Deng et Hou [4]) sur l'inexistence de métriques de Finsler localement symétriques, de courbure de drapeau positive ou négative, sont en fait locaux.

Received: 2014-06-12
Accepted: 2014-10-23
Published online: 2014-11-11

DOI: 10.1016/j.crma.2014.10.022

Author's affiliations:

Vladimir S. Matveev ¹

¹ Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany

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     title = {There exist no locally symmetric {Finsler} spaces of positive or negative flag curvature},
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Vladimir S. Matveev. There exist no locally symmetric Finsler spaces of positive or negative flag curvature. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 81-83. doi : 10.1016/j.crma.2014.10.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.022/

References
Cited by

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