Ellipses, near ellipses, and harmonic Möbius transformations |
| |
| Authors: | Martin Chuaqui Peter Duren Brad Osgood |
| |
| Affiliation: | Facultad de Matemáticas, P. Universidad Católica de Chile, Santiago, Chile ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109--1109 ; Department of Electrical Engineering, Stanford University, Stanford, California 94305 |
| |
| Abstract: | It is shown that an analytic function taking circles to ellipses must be a Möbius transformation. It then follows that a harmonic mapping taking circles to ellipses is a harmonic Möbius transformation. |
| |
| Keywords: | Harmonic mapping, Schwarzian derivative, harmonic M" {o}bius transformation, circles, ellipses |
|
| 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》下载全文 |
|
