An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from ℍ_*ⁿ to ℝ_*ⁿ

2014/09/07 by Shi-Zhong Du, Du, Shi-Zhong, Xu-Qian Fan +1
Mathematics · Physics and Astronomy · #Analytic and geometric function theory #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DG

paper · pdf · doi:10.48550/arxiv.1409.2118

arxiv created 2014/09/07 · arxiv updated 2014/09/09

Abstract

In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from ℍ_*ⁿ to ℝ_*ⁿ with rotational symmetry, which is a generalization of the corresponding result for dimension 2.

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