Entropy Bounds for Self-shrinkers with Symmetries
Differential Geometry
2023-06-22 v1
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.
Keywords
Cite
@article{arxiv.2306.12171,
title = {Entropy Bounds for Self-shrinkers with Symmetries},
author = {John Man Shun Ma and Ali Muhammad},
journal= {arXiv preprint arXiv:2306.12171},
year = {2023}
}