Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A. Bhowmick - S. Prasad

On the Cut Locus of Submanifolds of a Finsler Manifold

created by prasad on 01 Dec 2023



Inserted: 1 dec 2023
Last Updated: 1 dec 2023

Year: 2023

ArXiv: 2307.11045 PDF


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.

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