Sphere-preserving maps in inversive geometry-Reference-Cited by-同舟云学术

Sphere-preserving maps in inversive geometry

Published:2001-11-09 Issue:4 Volume:130 Page:987-998
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Beardon A.,Minda D.

Abstract

We give an extensive discussion of sphere-preserving maps defined on subdomains of Euclidean n n -space, and their relationship to Möbius maps and to the preservation of cross-ratios. In the case n = 2 n=2 (the complex plane) we also relate these ideas to the solutions of certain functional equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2002-130-04/S0002-9939-01-06427-9/S0002-9939-01-06427-9.pdf

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