Harmonic maps from $\mathbb{C}^{n}$ to Kahler manifolds
Differential Geometry
2019-02-15 v1
Abstract
In this paper, we shall prove that a harmonic map from () to any Kahler manifold must be holomorphic under an assumption of energy density. It can be considered as a complex analogue of the Liouville type theorem for harmonic maps obtained by Sealey.
Cite
@article{arxiv.1902.05293,
title = {Harmonic maps from $\mathbb{C}^{n}$ to Kahler manifolds},
author = {Jianming Wan},
journal= {arXiv preprint arXiv:1902.05293},
year = {2019}
}