KMS Of Academy of mathematics and systems sciences, CAS
JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY | |
Li, Yuxiang1; Wei, Guodong2; Zhou, Zhipeng3 | |
2020-10-01 | |
Source Publication | ASIAN JOURNAL OF MATHEMATICS |
ISSN | 1093-6106 |
Volume | 24Issue:5Pages:759-782 |
Abstract | Given a positive function u epsilon W-1,W-n, we define its John-Nirenberg radius at point x to be the supreme of the radius such that integral(Bt(x)) vertical bar del log u vertical bar(n) < epsilon(n)(0) when n > 2, and integral(Bt(x)) vertical bar del u vertical bar(2) < epsilon(2)(0) when n = 2. We will show that for a collapsing sequence of metrics in a fixed conformal class under some curvature conditions, the radius is bounded below by a positive constant. As applications, we will study the convergence of a conformal metric sequence on a 4-manifold with bounded parallel to K parallel to(W1,2), and prove a generalized H ' elein's Convergence Theorem. |
Keyword | John-Nirenberg Radius scalar curvature equation Blow up analysis |
Indexed By | SCI |
Language | 英语 |
Funding Project | NSFC[11731001] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000628753300002 |
Publisher | INT PRESS BOSTON, INC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58346 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Li, Yuxiang |
Affiliation | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Li, Yuxiang,Wei, Guodong,Zhou, Zhipeng. JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY[J]. ASIAN JOURNAL OF MATHEMATICS,2020,24(5):759-782. |
APA | Li, Yuxiang,Wei, Guodong,&Zhou, Zhipeng.(2020).JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY.ASIAN JOURNAL OF MATHEMATICS,24(5),759-782. |
MLA | Li, Yuxiang,et al."JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY".ASIAN JOURNAL OF MATHEMATICS 24.5(2020):759-782. |
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