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	CHEN-GACKSTATTER TYPE SURFACES IN R-1(4) : DEFORMATION, SYMMETRY, AND THE PROBLEM OF EMBEDDEDNESS
	Xie, Zhenxiao ; Ma, Xiang
	2014
关键词	Stationary surfaces minimal surfaces finite total curvature elliptic integrals period mapping COMPLETE MINIMAL-SURFACES CURVATURE TOPOLOGY SPACE ZERO
英文摘要	We find a 2-parameter family of deformations in R-1(4) of the classical Chen-Gackstatter surface explicitly, and show the existence of a larger 4-parameter family of deformations. Each of them still has genus one, a unique end, with total Gaussian curvature - integral K = 8 pi. On the other hand, a uniqueness theorem is obtained when we assume that the surface has more than four symmetries. The problem of embeddedness is also discussed with some partial results.; Mathematics; SCI(E); 0; ARTICLE; xiezhenxiao@126.com; maxiang@math.pku.edu.cn; 2; 25
语种	英语
出处	SCI
出版者	international journal of mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314301]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xie, Zhenxiao,Ma, Xiang. CHEN-GACKSTATTER TYPE SURFACES IN R-1(4) : DEFORMATION, SYMMETRY, AND THE PROBLEM OF EMBEDDEDNESS. 2014-01-01.

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