A characterization of Möbius transformations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

A characterization of Möbius transformations

Authors:	Roland Hö fer

Institution:	Mathematisches Seminar, Universität Hamburg, Bundesstr. 55, 20146 Hamburg, Germany

Abstract:	Let $n\ge 2$ be an integer and let $\mathcal{D}$ be a domain of $\mathbb{R}^n$ . Let $f:\mathcal{D}\to\mathbb{R}^n$ be an injective mapping which takes hyperspheres whose interior is contained in $\mathcal{D}$ to hyperspheres in $\mathbb{R}^n$ . Then is the restriction of a Möbius transformation.

Keywords:	M{\"o}bius transformation Lie transformation mappings preserving hyperspheres Alexandrov's theorem for domains

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文