Ancient Gauss Curvature Flows of Bounded Width
Differential Geometry
2025-10-08 v1 Analysis of PDEs
Abstract
In this paper, we construct a pancake-like ancient compact solution with flat sides to the Gauss curvature flow, contained in a slab. Also, we construct sausage-like ancient compact solutions to the -Gauss curvature flow with , asymptotic to a round cylinder.
Cite
@article{arxiv.2510.05614,
title = {Ancient Gauss Curvature Flows of Bounded Width},
author = {Beomjun Choi and Kyeongsu Choi and Dongjun Noh},
journal= {arXiv preprint arXiv:2510.05614},
year = {2025}
}
Comments
26 pages, 4 figures