3‐Circle theorem for Willmore surface I
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.
Authors
- Hao Yin (ORCID: https://orcid.org/0000-0002-1713-238X)
- Yuxiang Li (ORCID: https://orcid.org/0000-0002-1575-3692)
Institutions
- University of Science and Technology of China (CN)
- Tsinghua University (CN)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-04-29
- DOI
- https://doi.org/10.1112/jlms.70165
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- National Key Research and Development Program of China