On negatively curved finsler manifolds of scalar curvature

• Autores: Zhongmin Shen, Xiaohuan Mo
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 1, 2005, págs. 112-120
• Idioma: inglés
• DOI: 10.4153/cmb-2005-010-3
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• Resumen

  • In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n \geq 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