Liouville theorems for $f$-harmonic maps into Hadamard spaces
Differential Geometry
2018-03-16 v3 Metric Geometry
Abstract
In this paper, we study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove Liouville theorems for these harmonic maps with finite energy.
Keywords
Cite
@article{arxiv.1305.0485,
title = {Liouville theorems for $f$-harmonic maps into Hadamard spaces},
author = {Bobo Hua and Shiping Liu and Chao Xia},
journal= {arXiv preprint arXiv:1305.0485},
year = {2018}
}
Comments
Final version, to appear in Pacific J. Math