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arxiv: 1604.07702 · v1 · pith:RGWJU2SNnew · submitted 2016-04-26 · 🧮 math.DG

Rigidity of negatively curved geodesic orbit Finsler spaces

classification 🧮 math.DG
keywords finslergeodesiccurvatureorbitrigidityspacespacescurved
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We prove some rigidity results on geodesic orbit Finsler spaces with non-positive curvature. In particular, we show that a geodesic Finsler space with strictly negative flag curvature must be a non-compact Riemannian symmetric space of rank one.

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