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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
23/2014

Liouville theorems for f-harmonic maps into Hadamard spaces

Bobo Hua, Shiping Liu and 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 several Liouville type theorems for these harmonic maps.

Received:
Feb 18, 2014
Published:
Feb 25, 2014
MSC Codes:
58E20, 53C24
Keywords:
harmonic map, liouville theorem, Hadamard space

Related publications

inJournal
2017 Repository Open Access
Bobo Hua, Shiping Liu and Chao Xia

Liouville theorems for f-harmonic maps into Hadamard spaces

In: Pacific journal of mathematics, 290 (2017) 2, pp. 381-402