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arXiv · 2403.12020

A classification result for eternal mean convex flows of finite total curvature type

Alexander Mramor
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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.

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Alexander Mramor. 2024-03-18. A classification result for eternal mean convex flows of finite total curvature type. https://arxiv.org/abs/2403.12020

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