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Sur les espaces de Finsler à courbures sectionnelles constantes

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COMMUNICATION

GÉOMÉTRIE DIFFÉRENTIELLE

Sur les espaces de Finsler à courbures sectionnelles constantes

H. AKBAR-ZADEH (*)

Centre national de la Recherche scientifique, à Paris

Introduction

Ce travail est consacré à l'étude des espaces de Finsler isotropes et à courbures sectionnelles constantes. Après un bref rappel de la géomé¬ trie finslérienne, nous définissons les espaces isotropes et les propriétés de leurs tenseurs de courbures. Nous caractérisons les variétés à cour-

() Présenté par M. R. Debever.

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