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Comptes Rendus Mathématique
Volume 353, n° 1
pages 81-83 (janvier 2015)
Doi : 10.1016/j.crma.2014.10.022
Received : 12 June 2014 ;  accepted : 23 October 2014
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
 

Vladimir S. Matveev
 Mathematisches Institut, Friedrich-Schiller Universität Jena, 07737 Jena, Germany 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.


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