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Sun Xiaowei1; Wang Youde2
Source Publicationsciencechinamathematics
AbstractIn 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.
Funding Project[National Natural Science Foundation of China]
Document Type期刊论文
Recommended Citation
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.
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