Article ID Journal Published Year Pages File Type
4670585 Comptes Rendus Mathematique 2011 4 Pages PDF
Abstract

An n-dimensional (n⩾2) simply connected, compact without boundary Finsler space of positive constant sectional curvature is conformally homeomorphic to an n-sphere in the Euclidean space Rn+1.

RésuméUn espace de Finsler de dimension n (n⩾2), simplement connexe, compact, non-borné et à courbure sectionnelle positive constante est conformément homéomorphe à une n-sphère dʼun espace euclidien Rn+1.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)