Entropy Bounds for Self-Shrinkers with Symmetries

被引：0
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作者：
John Man Shun Ma
Ali Muhammad
机构：
[1] Southern University of Science and Technology,Department of Mathematics
[2] University of Copenhagen,Department of Mathematical Sciences
来源：
The Journal of Geometric Analysis | 2024年 / 34卷
关键词：
Mean curvature flow; Self-shrinkers; Entropy; 53C44;
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摘要：
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 Riedler (in J Geom Anal 33(6):Paper No. 172, 2023) 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 Ma, Muhammad, Møller (in J Reine Angew Math 793:239—259, 2022) on the space of complete embedded rotationally symmetric self-shrinkers.
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