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arXiv · 1708.09113

A survey of closed self-shrinkers with symmetry

Gregory Drugan·Hojoo Lee·Xuan Hien Nguyen
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Abstract

In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness problems for closed self-shrinkers with bi-rotational symmetry and provide numerical evidence for the existence of new examples.

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Gregory Drugan, Hojoo Lee, Xuan Hien Nguyen. 2017-08-30. A survey of closed self-shrinkers with symmetry. https://arxiv.org/abs/1708.09113

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