On Compact Finsler Spaces of Positive Constant Curvature

Abstract

An $n$-dimensional ($n\ge 2$) simply connected, compact without boundary Finsler space of positive constant sectional curvature is conformally homeomorphic to an n-sphere in the Euclidean space ${\mathbb{R}}^{n+1}$.

References in corpus (1)

• Classification of complete Finsler manifolds through a second order differential equation

Cited by in corpus (2)

• On Sobolev spaces and density theorems on Finsler manifolds
• Some Rigidity Results on Complete Finsler Manifolds