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.

引用

页码：4963 / 4970

页数：8

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