preprint
Inserted: 1 dec 2023
Last Updated: 1 dec 2023
Year: 2023
Abstract:
In this paper, we investigate the cut locus of submanifolds in a Finsler manifolds, a natural generalization of Riemannian manifolds. We explore the deformation and characterization of the cut locus, extending the results of \cite{BaPr21}. We also obtain a generalization of Klingenberg's lemma for closed geodesic (\cite{Kli59}) in the Finsler setting.