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	Conformal CMC-surfaces in Lorentzian space forms
	Nie, Changxiong ; Ma, Xiang ; Wang, Changping
	2007
关键词	conformal geometry Willmore surfaces Lorentzian space WILLMORE SURFACES TORI
英文摘要	Let Q(3) be the common conformal compactification space of the Lorentzian space forms R-1(3), S-1(3) and H-1(3). We study the conformal geometry of space-like surfaces in Q(3). It is shown that any conformal CMC-surface in Q(3) must be conformally equivalent to a constant mean curvature surface in R-1(3), S-1(3) or H-1(3) . We also show that if x : M -> Q(3) is a space-like Willmore surface whose conformal metric g has constant curvature K, then either K = -1 and x is conformally equivalent to a minimal surface in R-1(3), or K = 0 and x is conformally equivalent to the surface H-1(1/root 2) x H-1(1/root 2) in H-1(3).; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 3; 299-310; 28
语种	英语
出处	SCI
出版者	chinese annals of mathematics series b
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314931]
专题	数学科学学院
推荐引用方式 GB/T 7714	Nie, Changxiong,Ma, Xiang,Wang, Changping. Conformal CMC-surfaces in Lorentzian space forms. 2007-01-01.

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