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	The classification of homogeneous surfaces in CP2
	Wang, CP
	2000
关键词	invariants for surfaces in CP2 homogeneous surface classification MINIMAL-SURFACES HARMONIC MAPS
英文摘要	A surface M in CP2 is called (locally) homogeneous, if for any two points p, q is an element of M there exists a transformation sigma, is an element of U(3) which takes a neighborhood of p is an element of M to a neighborhood of q is an element of M and takes p to q. Such surfaces automatically have constant curvature and constant Kaehler angle, but in general non-minimal. Minimal surfaces in CPn with constant curvature and constant Kaehler angle have been studied by many authors (see for example [B-W-2], [O]), and minimal homogeneous surfaces in CP2 have been classified in [E-G-T]. In this paper we classify homogeneous surfaces in CP2 without the assumption of minimality. We show that any (locally) homogeneous surface in CP2 is U(3)-equivalent to an open part of either CP1, or the Veronese surface, or RP2, or a standard fiat torus in CP2. We also show that the Kaehler angle theta of any compact oriented surface in CP2 has the property that there exists at least a point p is an element of M such that either theta (p) = 0, theta (p) = pi or theta (p) = pi /2.; Mathematics; CPCI-S(ISTP); 1
语种	英语
出处	SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315466]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, CP. The classification of homogeneous surfaces in CP2. 2000-01-01.

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