preprint

Inserted: 7 jan 2025
Last Updated: 7 jan 2025

Year: 2024

Abstract:

In this article we partially classify the space of eternal mean convex flows in $\mathbb{R}^3$ of finite total curvature type, a condition implied by finite total curvature. In particular we show that topologically nonplanar ones must flow out of a catenoid in a natural sense.