Entropy Bounds for Self-shrinkers with Symmetries

Author:

John Man Shun Ma, Ali Muhammad

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

CPH-GEOTOP-DNRF151

date:

2023-06-20 16:00:00

Abstract

In this work we derive explicit entropy bounds for two classes of closed self-shrinkers: the class of embedded closed self-shrinkers recently constructed in arXiv:2207.04851 using isoparametric foliations of spheres, and the class of compact non-spherical immersed rotationally symmetric self-shrinkers. These bounds generalize the entropy bounds found in arXiv:2202.08641 on the space of complete embedded rotationally symmetric self-shrinkers.

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