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	Generalized Weierstrass representation of surfaces in R-4
	Chen, Jianhua ; Chen, Weihuan
	2007
关键词	surface conformal immersion Weierstrass representation CONSTANT MEAN-CURVATURE
英文摘要	In the present paper, we describe the conformal immersion of the surface into R-4 by means of a linear system. Furthermore we prove that every regular conformal immersion of a surface into R-4 is locally determined by the generalized Weierstrass formulae. We also give the representation of the surface with parallel mean curvature vector by solutions with the parameter of a linear system which is determined by the sinh-Laplace equation. (c) 2006 Elsevier B.V. All rights reserved.; Mathematics, Applied; Physics, Mathematical; SCI(E); 2; ARTICLE; 2; 367-378; 57
语种	英语
出处	SCI
出版者	journal of geometry and physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/251049]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Jianhua,Chen, Weihuan. Generalized Weierstrass representation of surfaces in R-4. 2007-01-01.

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