Shrinking doughnuts via variational methods

Gregory Drugan; Xuan Hien Nguyen

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arXiv · 1708.08808

Shrinking doughnuts via variational methods

Gregory Drugan·Xuan Hien Nguyen

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Abstract

We use variational methods and a modified curvature flow to give an alternative proof of the existence of a self-shrinking torus under mean curvature flow. As a consequence of the proof, we establish an upper bound for the weighted energy of our shrinking doughnuts.

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Gregory Drugan, Xuan Hien Nguyen. 2017-08-29. Shrinking doughnuts via variational methods. https://arxiv.org/abs/1708.08808

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