On Negatively Curved Finsler Manifolds of Scalar Curvature

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In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n>2. 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.
10 pages

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Differential Geometry, Metric Geometry, 53C60

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http://salesiana.dossiersoluciones.com/handle/123456789/66496

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302124
 http://arxiv.org/abs/math/0302124

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arXiv