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	On existence of degenerate circle-preserving maps
	Yao, Guowu
	2010-05-06 ; 2010-05-06
关键词	mobius transformation circle-preserving map degenerate map TRANSFORMATIONS Mathematics, Applied Mathematics
中文摘要	Recently, B. Li and Y. Wang proved that if f : R-infinity(n) --> R-infinity(n) (n >= 2) is a circle-preserving map, then f is a Mobius transformation if and only if f is a non-degenerate map, where a map f is degenerate if the image f (R-infinity(n)) is a circle. Furthermore, they conjectured that there should exist no degenerate map, or equivalently, f is a Mobius transformation if and only if f is a circle-preserving map. In this note, we construct a degenerate circle-preserving map to show that the conjecture is not true. (c) 2007 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13914]
专题	清华大学
推荐引用方式 GB/T 7714	Yao, Guowu. On existence of degenerate circle-preserving maps[J],2010, 2010.
APA	Yao, Guowu.(2010).On existence of degenerate circle-preserving maps..
MLA	Yao, Guowu."On existence of degenerate circle-preserving maps".(2010).

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