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Locally Symetric Finsler Spaces In Negative Curvature.

Patrick Foulon 1

(1997-01-21)

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.}

1:	Institut de Recherche Mathématique Avancée (IRMA)
	CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I

Subject

:

Mathematics/Differential Geometry

Keyword(s): "geometrie – systemes dynamiques"

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From: Véronique Bertrand <>

Submitted on: Thursday, 8 February 2007 11:23:47

Updated on: Thursday, 8 February 2007 14:40:59