Calculus of Variations and Geometric Measure Theory

T. Bourni - A. Mramor

Nonplanar ancient curve shortening flows in $\mathbb{R}^3$ from grim reapers

created by mramor on 07 Jan 2025

[BibTeX]

Published Paper

Inserted: 7 jan 2025
Last Updated: 7 jan 2025

Journal: Math Z.
Year: 2022

ArXiv: 2201.02134 PDF

Abstract:

In this note we construct new nonplanar ancient (in fact, eternal) solutions to the curve shortening flow in $\mathbb{R}^3$, built out of translating grim reapers laying in perpendicular planes.