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arXiv · 1407.6160

A nonexistence result on harmonic diffeomorphisms between punctured spaces

Shi-Zhong Du·Xu-Qian Fan
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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.

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Shi-Zhong Du, Xu-Qian Fan. 2014-07-23. A nonexistence result on harmonic diffeomorphisms between punctured spaces. https://arxiv.org/abs/1407.6160

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