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	Weierstrass representations of Laguerre minimal surfaces in R-3
	Wang, Changping
	2008
关键词	Laguerre minimal surfaces Laguerre group Weierstrass representation GEOMETRY
英文摘要	Let x : M -> R-3 be an oriented surface with non-zero Gauss curvature K and mean curvature H. The functional L(x) = integral(M)(H-2 - K)/K dM is invariant under a 10 dimensional group, called Laguerre group, which includes the isometry group of R3 as subgroup. The critical surfaces of L are called Laguerre minimal surfaces. In this paper we give a method to construct all Laguerre minimal surfaces locally by using one holomorphic function and two meromorphic functions.; Mathematics, Applied; Mathematics; SCI(E); 10; ARTICLE; 3-4; 399-408; 52
语种	英语
出处	SCI
出版者	results in mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158183]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Changping. Weierstrass representations of Laguerre minimal surfaces in R-3. 2008-01-01.

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