Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies
文献类型：期刊论文
| 作者 | Wei, Guodong |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2021-04-01 |
| 卷号 | 64期号:4页码:781-798 |
| 关键词 | Willmore functional bubble tree conformal immersion |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-018-9475-1 |
| 英文摘要 | In this paper, we first extend the classical Helein's convergence theorem to a sequence of rescaled branched conformal immersions. By virtue of this local convergence theorem, we study the blow-up behavior of a sequence of branched conformal immersions of a closed Riemann surface in Double-struck capital R-n with uniformly bounded areas and Willmore energies. Furthermore, we prove that the integral identity of Gauss curvature is true. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000632927900007 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58333]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wei, Guodong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wei, Guodong. Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies[J]. SCIENCE CHINA-MATHEMATICS,2021,64(4):781-798. |
| APA | Wei, Guodong.(2021).Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies.SCIENCE CHINA-MATHEMATICS,64(4),781-798. |
| MLA | Wei, Guodong."Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies".SCIENCE CHINA-MATHEMATICS 64.4(2021):781-798. |
入库方式： OAI收割
来源：数学与系统科学研究院
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