3-circle Theorem for Willmore surface I
Differential Geometry
2024-06-18 v2
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.
Keywords
Cite
@article{arxiv.2406.02828,
title = {3-circle Theorem for Willmore surface I},
author = {Yuxiang Li and Hao Yin},
journal= {arXiv preprint arXiv:2406.02828},
year = {2024}
}
Comments
20 pages