A survey of closed self-shrinkers with symmetry

2017/08/30 by Drugan, Gregory, Lee, Hojoo, Nguyen, Xuan Hien · 1 citation
#49Q05 #53C42 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.09113

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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• Curvilinear coordinates and curvature in radiative transport

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