On Negatively Curved Finsler Manifolds of Scalar Curvature

Mo, Xiaohuan ; Shen, Zhongmin

Canadian mathematical bulletin, Tome 48 (2005) no. 1, pp. 112-120

Résumé

In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension $n\,\ge \,3$ . We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.

Détail

DOI : 10.4153/CMB-2005-010-3

Mots-clés : 53C60

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