Abstract and Applied Analysis
Volume 2013 (2013), Article ID 512383, 5 pages
http://dx.doi.org/10.1155/2013/512383
Research Article

Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces

Li Chen,1 Shi-Zhong Du,2 and Xu-Qian Fan3

1Faculty of Mathematics & Computer Science, Hubei University, Wuhan 430062, China
2The School of Natural Sciences and Humanities, Shenzhen Graduate School, The Harbin Institute of Technology, Shenzhen 518055, China
3Department of Mathematics, Jinan University, Guangzhou 510632, China

Received 12 February 2013; Revised 22 April 2013; Accepted 22 April 2013

Academic Editor: Yuriy Rogovchenko

Copyright © 2013 Li Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.