3 papers
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…
math.DG2018
Convexity of the distance function to convex subsets of Riemannian manifolds
S. Khajehpour, M. R. Pouryayevali
A characterization of the proximal normal cone is obtained and a separation theorem for convex subsets of Riemannian manifolds is established. Moreover, the convexity of the distan…