Curvature bounds on length-minimizing discs
Differential Geometry
2023-08-29 v1 Metric Geometry
Abstract
We show that a length-minimizing disk inherites the upper curvature bound of the target. As a consequence we prove that harmonic discs and ruled discs inherit the upper curvature bound from the ambient space.
Cite
@article{arxiv.2308.14684,
title = {Curvature bounds on length-minimizing discs},
author = {Alexander Lytchak and Sophia Wagner},
journal= {arXiv preprint arXiv:2308.14684},
year = {2023}
}
Comments
18 pages