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arXiv · 2306.12171

Entropy Bounds for Self-shrinkers with Symmetries

John Man Shun Ma·Ali Muhammad
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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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John Man Shun Ma, Ali Muhammad. 2023-06-21. Entropy Bounds for Self-shrinkers with Symmetries. https://arxiv.org/abs/2306.12171

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