Colding-Minicozzi entropies of some self-shrinkers

Qilun Luo; Guoxin Wei; Fu-An Zhang

Colding-Minicozzi entropies of some self-shrinkers

Differential Geometry 2023-11-22 v1 Numerical Analysis Numerical Analysis

Authors: Qilun Luo , Guoxin Wei , Fu-An Zhang

Abstract

In this note, we numerically estimate Colding-Minicozzi entropies of some self-shrinkers and get that Colding-Minicozzi entropies of $n$ -dimensional Angenent torus are decreasing about dimension $n$ ( $2\leq n\leq 5*10^7$ ), which partially answer the questions of Berchenko-Kogan \cite{BK}.

Keywords

colding-minicozzi entropy self-shrinker angenent torus mean curvature flow

Cite

@article{arxiv.2311.12370,
  title  = {Colding-Minicozzi entropies of some self-shrinkers},
  author = {Qilun Luo and Guoxin Wei and Fu-An Zhang},
  journal= {arXiv preprint arXiv:2311.12370},
  year   = {2023}
}

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