Comptes Rendus
no. 1
Differential geometry
There exist no locally symmetric Finsler spaces of positive or negative flag curvature
Étienne Ghys
Vladimir S. Matveev1
1Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany
Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 81-83

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:
Accepted:
Published online:
DOI: 10.1016/j.crma.2014.10.022

Vladimir S. Matveev  1

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