Pseudo-Finsler Radially Symmetric Spaces

Abstract

We introduce the concept of radially symmetric pseudo-Finsler spaces, which generalize the notion of symmetric Finsler spaces, and prove that this concept is equivalent to the preservation of flag curvature by parallel transport together with reversibility. As a consequence, reversible pseudo-Finsler manifolds with constant flag curvature are radially symmetric.

Keywords

• Finsler symmetric spaces
• parallel transport
• flag curvature