Work

Colding-Minicozzi entropies of some self-shrinkers

Year: 2026

Type: article

Abstract: In this note, we use the shooting method to numerically estimate the Colding-Minicozzi entropies of some self-shrinkers and find that Colding-Minicozzi entropies of the n n -dimensional Angenent doughnut decrease with respect to the dimension n n ( 2 ≤ n ≤ 5 × 10 7 2\leq n\leq 5\times 10^7 ), which partially answers the questions posed by Berchenko-Kogan [Exp. Math. 30 (2021), pp. 587–594].

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17503

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

Institution: South China Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangdong Province

Awards: G3047370844, G6488649297, G7255396706, G7474036787