Scalar curvature equation on S-n, Part I: Topological conditions
文献类型：期刊论文
| 作者 | Ji, Min
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2009-01-15 |
| 卷号 | 246期号:2页码:749-787 |
| 关键词 | Prescribing scalar curvature Topological conditions Sphere Uniform conditions |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2008.04.011 |
| 英文摘要 | This is the first part of a series devoting to the study of the prescribing scalar curvature problem oil the standard sphere of my dimension. In the first part, we will adopt the degree-theoretic approach to give a topological condition and some general, explicit conditions oil the scalar curvature functions to ensure the solvability of the problem. Our topological condition is imposed on some of simple maps explicitly defined by the scalar curvature function, which is derived from the asymptotic expansion of the boundary map introduced in [A. Chang, P, Yang, A perturbation result in prescribing scalar curvature on S-n. Duke Math. J. 64 (1991) 27-69]. Our conditions, particularly allowing non-isolation and non-degeneracy of the critical points of the scalar curvature functions, can be easily verified in many situations. In the second part of series, we will make a detailed study on the verification of the topological condition. Out, results will generalize almost all existing ones in the same direction and meanwhile provide a unified treatment for both symmetric and non-symmetric cases of the scalar curvature functions. (C) 2008 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000261714900013 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7392]  |
| 专题 | 数学所 |
| 通讯作者 | Ji, Min |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ji, Min. Scalar curvature equation on S-n, Part I: Topological conditions[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(2):749-787. |
| APA | Ji, Min.(2009).Scalar curvature equation on S-n, Part I: Topological conditions.JOURNAL OF DIFFERENTIAL EQUATIONS,246(2),749-787. |
| MLA | Ji, Min."Scalar curvature equation on S-n, Part I: Topological conditions".JOURNAL OF DIFFERENTIAL EQUATIONS 246.2(2009):749-787. |
入库方式： OAI收割
来源：数学与系统科学研究院
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