Liouville theorems for f-harmonic maps into Hadamard spaces

Bobo Hua, Shiping Liu, Chao Xia
2017 Pacific Journal of Mathematics  
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.
doi:10.2140/pjm.2017.290.381 fatcat:mjuwtdxec5h6jepawj4snwx4vq