Willmore曲面1的3圆定理

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-04-29 DOI:10.1112/jlms.70165

Yuxiang Li, Hao Yin

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引用次数: 0

摘要

本文研究了Willmore曲面的爆破问题。利用三圆定理，我们证明了沿颈区的第二基本形式的衰减估计。这一估计为该领域的一些关键结果，如能量恒等（量子化）、可移除奇点和间隙定理提供了一个新的视角和简化的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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3-Circle theorem for Willmore surface I

In this paper, we study the blow-up of Willmore surfaces. By using the 3-circle theorem, we prove a decay estimate of the second fundamental form along the neck region. This estimate provides a new perspective and streamlined proofs to a few key results in this field, such as the energy identity(quantization), removable singularities and gap theorem.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.