| Publication type: |
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Preprint, Working Paper, ... |
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| Subject: |
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Mathematics/Differential Geometry
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| Title: |
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Locally Symetric Finsler Spaces In Negative Curvature. |
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| Author(s): |
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Patrick Foulon 1 |
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| Laboratory: |
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| Abstract: |
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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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| Fulltext language: |
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English |
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| Production date: |
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1997-01-21 |
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| Keyword(s): |
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"geometrie – systemes dynamiques" |
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| Classification: |
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58F17, 58F11 |
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