On the uniqueness of energy-minimizing curves in constrained spaces
Differential Geometry
2023-07-21 v2
Abstract
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set of points for which the energy-minimizing curve is not unique has no interior points.
Cite
@article{arxiv.2306.07511,
title = {On the uniqueness of energy-minimizing curves in constrained spaces},
author = {Ki-Ahm Lee and Taehun Lee},
journal= {arXiv preprint arXiv:2306.07511},
year = {2023}
}