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Pseudo-Finsler Radially Symmetric Spaces
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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.
Title: Pseudo-Finsler Radially Symmetric Spaces
Description:
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.
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