Accepted Paper

Inserted: 7 jan 2025
Last Updated: 15 oct 2026

Journal: Ann. Glob. Anal. Geom.
Year: 2026

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.