Weak geodesics on prox-regular subsets of Riemannian manifolds
Differential Geometry
2022-05-19 v1
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.
Keywords
Cite
@article{arxiv.2205.08757,
title = {Weak geodesics on prox-regular subsets of Riemannian manifolds},
author = {Juan Ferrera and Mohamad R. Pouryayevali and Hajar Radmanesh},
journal= {arXiv preprint arXiv:2205.08757},
year = {2022}
}
Comments
22 pages