Weierstrass Representation for Surfaces in the Three-Dimensional Heisenberg Group

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作者：

Qun CHEN Hongbing QIU School of Mathematics and StatisticsWuhan UniversityWuhan ChinaSchool of Mathematical SciencesFudan UniversityShanghai China ^{[430072
,200433
]}

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来源：

Chinese Annals of Mathematics | 2010年 / 31卷 / 01期

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摘要：

The authors define the Gauss map of surfaces in the three-dimensional Heisenberg group and give a representation formula for surfaces of prescribed mean curvature.Furthermore,a second order partial differential equation for the Gauss map is obtained,and it is shown that this equation is the complete integrability condition of the representation.

引用

页码：119 / 132

页数：14

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