Metrics on a Surface with Bounded Total Curvature
文献类型：期刊论文
| 作者 | Li, Yuxiang1; Sun, Jianxin2; Tang, Hongyan1 |
| 刊名 | INTERNATIONAL MATHEMATICS RESEARCH NOTICES
 |
| 出版日期 | 2021-05-11 |
| 页码 | 34 |
| ISSN号 | 1073-7928 |
| DOI | 10.1093/imrn/rnab089 |
| 英文摘要 | Let g = e(2u)g(euc) be a conformal metric defined on the unit disk of C. We give an estimate of parallel to del u parallel to(L2,infinity(D1/2)) when parallel to K(g)parallel to(L1) is small and mu(B-r(g)(z),g)/pi r(2) < Lambda for any r and z is an element of D-43. Then we use this estimate to study the Gromov-Hausdorff convergence of a conformal metric sequence with bounded parallel to K parallel to(L1) and give some applications. |
| 资助项目 | National Nature Science Foundation of China[11971451] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000755814000001 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59974]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Yuxiang |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Yuxiang,Sun, Jianxin,Tang, Hongyan. Metrics on a Surface with Bounded Total Curvature[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021:34. |
| APA | Li, Yuxiang,Sun, Jianxin,&Tang, Hongyan.(2021).Metrics on a Surface with Bounded Total Curvature.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,34. |
| MLA | Li, Yuxiang,et al."Metrics on a Surface with Bounded Total Curvature".INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2021):34. |
入库方式： OAI收割
来源：数学与系统科学研究院
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