Title of article
Harmonicity of the inverse of a harmonic diffeomorphism
Author/Authors
Chen، نويسنده , , Xingdi and Fang، نويسنده , , Ainong، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
9
From page
647
To page
655
Abstract
In 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.
Keywords
Harmonic mappings , Harmonic quasiconformal diffeomorphisms , Reversible harmonic diffeomorphisms , Hopf differentials
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562641
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