Liouville theorems for $f$-harmonic maps into Hadamard spaces

math.DG

/ Authors

/ 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.

Liouville theorems for $f$-harmonic maps into Hadamard spaces

math.DG

/ Authors

Bobo Hua, Shiping Liu, Chao Xia

/ 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.