newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows
文献类型：期刊论文
| 作者 | Sun Xiaowei2; Wang Youde1
|
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:11页码:2247 |
| ISSN号 | 1674-7283 |
| 英文摘要 | In this paper, a class of new geometric flows on a complete Riemannian manifold is defined. The new flow is related to the generalized (third order) Landau-Lifshitz equation. On the other hand it could be thought of as a special case of the Schrodinger-Airy flow when the target manifold is a Kahler manifold with constant holomorphic sectional curvature. We show the local existence of the new flow on a complete Riemannian manifold with some assumptions on Ricci tensor. Moreover, if the target manifolds are Einstein or some certain type of locally symmetric spaces, the global results are obtained. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/39540]  |
| 专题 | 数学所 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.中央财经大学 |
| 推荐引用方式 GB/T 7714 | Sun Xiaowei,Wang Youde. newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows[J]. sciencechinamathematics,2014,57(11):2247. |
| APA | Sun Xiaowei,&Wang Youde.(2014).newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows.sciencechinamathematics,57(11),2247. |
| MLA | Sun Xiaowei,et al."newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows".sciencechinamathematics 57.11(2014):2247. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。