%0 Journal Article
%A Ferrera Cuesta, Juan
%A Pouryayevali, Mohamad R.
%A Radmanesh, Hajar
%T Weak geodesics on prox-regular subsets of Riemannian manifolds
%D 2022
%U https://hdl.handle.net/20.500.14352/71711
%X 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.
%~