On Negatively Curved Finsler Manifolds of Scalar Curvature

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dc.creatorMo, Xiaohuan
dc.creatorShen, Zhongmin
dc.date2003-02-11
dc.date.accessioned2026-07-07T04:55:12Z
dc.date.available2026-07-07T04:55:12Z
dc.descriptionIn 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0302124
dc.identifierhttp://arxiv.org/abs/math/0302124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66496
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C60
dc.titleOn Negatively Curved Finsler Manifolds of Scalar Curvature
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