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arXiv · 2205.08757

Weak geodesics on prox-regular subsets of Riemannian manifolds

Juan Ferrera·Mohamad R. Pouryayevali·Hajar Radmanesh
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Abstract

We give a definition of weak geodesics on prox-regular subsets of Riemannian manifolds as continuous curves with some weak regularities. Then obtaining a suitable Lipschitz constant of the projection map, we characterize weak geodesics on a prox-regular set with assigned end points as viscosity critical points of the energy functional.

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Juan Ferrera, Mohamad R. Pouryayevali, Hajar Radmanesh. 2022-05-18. Weak geodesics on prox-regular subsets of Riemannian manifolds. https://arxiv.org/abs/2205.08757

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