Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces-Reference-Cited by-同舟云学术

Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chen Li¹,Du Shi-Zhong²,Fan Xu-Qian³^ORCID

Affiliation:

1. Faculty of Mathematics & Computer Science, Hubei University, Wuhan 430062, China

2. The School of Natural Sciences and Humanities, Shenzhen Graduate School, The Harbin Institute of Technology, Shenzhen 518055, China

3. Department of Mathematics, Jinan University, Guangzhou 510632, China

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/512383.pdf

Reference34 articles.

1. The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski $3$-space

2. Hopf differentials and the images of harmonic maps

3. Images of harmonic maps with symmetry

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