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Pré-Publication, Document De Travail Année : 1997

Locally Symetric Finsler Spaces In Negative Curvature.

Résumé

E. C{fiverm ARTAN} introduced the Riemannian locally symmetric spaces, as the one whose curvature tensor is parallel. They also howe their name to the fact that for each point the geodesic reflexion is a local isometry. The aim of this note is to announce a strong rigidity result for Finsler spaces. Namely we show that a negatively curved locally symmetric (in the first above sense) Finsler space is isometric to a Riemann locally symmetric space.}
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hal-00129571 , version 1 (08-02-2007)

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  • HAL Id : hal-00129571 , version 1

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Patrick Foulon. Locally Symetric Finsler Spaces In Negative Curvature.. 1997. ⟨hal-00129571⟩
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