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In this paper, we investigate the cut locus of submanifolds in a Finslermanifolds, a natural generalization of Riemannian manifolds. We explore thedeformation and characterization of the cut locus, extending the results of\cite{BaPr21}. We also obtain a generalization of Klingenberg's lemma forclosed geodesic (\cite{Kli59}) in the Finsler setting.

On the Cut Locus of Submanifolds of a Finsler Manifold