On the Cut Locus of Submanifolds of a Finsler Manifold

Author:

Aritra Bhowmick, Sachchidanand Prasad

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-07-19 16:00:00

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.

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