3-circle Theorem for Willmore surface I
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929387081826304 |
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| author | Li, Yuxiang Yin, Hao |
| author_facet | Li, Yuxiang Yin, Hao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02828 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 3-circle Theorem for Willmore surface I Li, Yuxiang Yin, Hao Differential Geometry 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. |
| title | 3-circle Theorem for Willmore surface I |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.02828 |