Work

3‐Circle theorem for Willmore surface I

Year: 2025

Type: article

Abstract: 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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70165

Authors: Yuxiang Li, Hao Yin

Institutions: Tsinghua University, University of Science and Technology of China

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G3772416005, G5491100983