English

Level Curves of Minimal Graphs

Differential Geometry 2021-02-26 v1 Analysis of PDEs

Abstract

We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are concave.

Keywords

Cite

@article{arxiv.2008.10197,
  title  = {Level Curves of Minimal Graphs},
  author = {Allen Weitsman},
  journal= {arXiv preprint arXiv:2008.10197},
  year   = {2021}
}

Comments

7 pages

R2 v1 2026-06-23T18:03:12.699Z