A Finsler manifold is said to be geodesically reversible if for every one of its oriented geodesic paths, the same path traversed in the opposite sense is also a geodesic. In this note, it is shown that the geodesically reversible Blaschke Finsler metrics on spheres with vanishing S-curvature are Randers metrics.

geodesically reversible, Blaschke Finsler metrics, Randers metrics.

Received: June 14, 2023;  Accepted: July 18, 2023; Published: July 24, 2023

How to cite this article: Chang-Wan Kim, Geodesically reversible Blaschke Finsler metrics on spheres, JP Journal of Geometry and Topology 29(2) (2023), 153-166. http://dx.doi.org/10.17654/0972415X23007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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