A nonexistence result on harmonic diffeomorphisms between punctured spaces

2014/07/23 by Shi-Zhong Du, Du, Shi-Zhong, Xu-Qian Fan +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #math.DG

paper · pdf · doi:10.48550/arxiv.1407.6160

9 pages

arxiv created 2014/07/23 · openalex publication_date 2014/07/23 · arxiv updated 2014/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will prove a result of nonexistence on harmonic diffeomorphisms between punctured spaces. In particular, we will given an elementary proof to the nonexistence of rotationally symmetric harmonic diffeomorphisms from the punctured Euclidean space onto the punctured hyperbolic space.

Citations

• Bi-Harmonic mappings and J. C. C. Nitsche type conjecture

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