Weak geodesics on prox-regular subsets of Riemannian manifolds

Autor:	Ferrera, Juan, Pouryayevali, Mohamad R., Radmanesh, Hajar
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 58C20 58C06 49J52
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.08757 Zobrazit plný text záznamu View this record from Arxiv