Work

Weak geodesics on prox-regular subsets of Riemannian manifolds

Year: 2025

Type: article

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.

Source: ESAIM Control Optimisation and Calculus of Variations

DOI: 10.1051/cocv/2025036

Authors: Juan Ferrera, Mohamad R. Pouryayevali, Hajar Radmanesh

Institutions: Universidad Complutense de Madrid, University of Isfahan

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: National Science Foundation, Iran National Science Foundation