newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows

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	newgeometricflowsonriemannianmanifoldsandapplicationstoschrodingerairyflows
	Sun Xiaowei 1; Wang Youde2
	2014
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	57 期号:11 页码:2247
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.
语种	英语
资助项目	[National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39541
专题	数学所
作者单位	1.中央财经大学 2.中国科学院数学与系统科学研究院
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.