no. 1
Differential geometry
There exist no locally symmetric Finsler spaces of positive or negative flag curvature
[Il n'existe pas d'espace de Finsler localement symétrique de courbure de drapeau positive ou négative]

Présenté par : Étienne Ghys

Matveev, Vladimir S.1
1 Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany
Comptes Rendus. Mathématique, Tome 353 (2015) no. 1, pp. 81-83.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.10.022
Matveev, Vladimir S. 1

1 Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany 
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Matveev, Vladimir S. There exist no locally symmetric Finsler spaces of positive or negative flag curvature. Comptes Rendus. Mathématique, Tome 353 (2015) no. 1, pp. 81-83. doi : 10.1016/j.crma.2014.10.022. http://archive.numdam.org/articles/10.1016/j.crma.2014.10.022/

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