3 papers
math.DG2023
Local minimality of weak geodesics on prox-regular subsets of Riemannian manifolds
Juan Ferrera, Mohamad R. Pouryayevali, Hajar Radmanesh
In this paper we prove that every locally minimizing curve with constant speed in a prox-regular subset of a Riemannian manifold is a weak geodesic. Moreover, it is shown that unde…
math.DG2022
Weak geodesics on prox-regular subsets of Riemannian manifolds
Juan Ferrera, Mohamad R. Pouryayevali, Hajar Radmanesh
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 constan…
math.DG2021
Minimizing curves in prox-regular subsets of Riemannian manifolds
Mohamad R. Pouryayevali, Hajar Radmanesh
We obtain a characterization of the proximal normal cone to a prox-regular subset of a Riemannian manifold. Moreover, some properties of Bouligand tangent cones to prox-regular set…