Weak geodesics on prox-regular subsets of Riemannian manifolds
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.
Authors
- Hajar Radmanesh
- Mohamad R. Pouryayevali (ORCID: https://orcid.org/0000-0003-4869-8236)
- J. Mariano Ferrera (ORCID: https://orcid.org/0009-0001-3097-7168)
Institutions
- Universidad Complutense de Madrid (ES)
- University of Isfahan (IR)
- Institute of Mathematical Sciences (ES)
Publication Details
- Journal
- ESAIM Control Optimisation and Calculus of Variations
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1051/cocv/2025036
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Iran National Science Foundation