Liouville theorems for f-harmonic maps into Hadamard spaces
Bobo Hua, Shiping Liu, and Chao Xia
Contact the author: Please use for correspondence this email.
Submission date: 18. Feb. 2014
published in: Pacific journal of mathematics, 290 (2017) 2, p. 381-402
DOI number (of the published article): 10.2140/pjm.2017.290.381
MSC-Numbers: 58E20, 53C24
Keywords and phrases: harmonic map, liouville theorem, Hadamard space
Download full preprint: PDF (382 kB)
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 several Liouville type theorems for these harmonic maps.