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Harmonicity of the inverse of a harmonic diffeomorphism

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2012Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 389, pages 647-655 (issn: 0022-247X,

Authors: Xingdi Chen; Ainong Fang;

doi: 10.1016/j.jmaa.2011.12.019

Harmonicity of the inverse of a harmonic diffeomorphism

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Abstract

AbstractIn this paper we obtain a necessary and sufficient condition for the harmonicity of the inverse of a harmonic diffeomorphism. As an application, we give explicit representations of reversible logharmonic diffeomorphisms. As another application, we connect the harmonicity of the inverse of a hyperbolic harmonic quasiconformal diffeomorphism with the Schoen conjecture.

Related Organizations

Huaqiao University
China (People's Republic of)
Shanghai Jiaotong University
China (People's Republic of)
Huaqiao University
China (People's Republic of)
Shanghai Jiao Tong University
China (People's Republic of)

Keywords

Harmonic mappings, Applied Mathematics, Harmonic quasiconformal diffeomorphisms, Hopf differentials, Analysis, Reversible harmonic diffeomorphisms

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