A nonexistence result on harmonic diffeomorphisms between punctured spaces
Differential Geometry
2014-07-24 v1
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.
Cite
@article{arxiv.1407.6160,
title = {A nonexistence result on harmonic diffeomorphisms between punctured spaces},
author = {Shi-Zhong Du and Xu-Qian Fan},
journal= {arXiv preprint arXiv:1407.6160},
year = {2014}
}
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9 pages