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

Bobo Hua, Shiping Liu and Chao Xia

Vol. 290 (2017), No. 2, 381–402

DOI: 10.2140/pjm.2017.290.381

Abstract

We study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove several Liouville-type theorems for these harmonic maps.

Keywords

harmonic map, Liouville theorem, Hadamard space

Mathematical Subject Classification 2010

Primary: 53C43

Secondary: 31C05

Milestones

Received: 3 July 2015

Revised: 25 July 2016

Accepted: 19 November 2016

Published: 25 July 2017