GAUSS MAP OF THE SKEW MEAN CURVATURE FLOW

被引：9
|
作者：
Song, Chong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 11期
关键词：
DYNAMICS;
D O I：
10.1090/proc/13615
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schrodinger flow equation. In this regard, we explore the geometry of the oriented Grassmannian manifold explicitly by embedding it into the exterior product space.
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页码：4963 / 4970
页数：8
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