MiS Preprint Repository

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 ( 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

Omori-Yau maximum principles, V-harmonic maps and their geometric applications

Qun Chen, Jürgen Jost and Hongbing Qiu


We establish a V-Laplacian comparison theorem under the Bakry--Emery Ricci condition and then give various Omori--Yau type maximum principles on complete noncompact manifolds. We also obtain Liouville theorems for $V$-harmonic maps. We apply these findings to Ricci solitons and self-shrinkers.

MSC Codes:
58E20, 53C27
Omori-Yau maximum principle, V-Laplacian, V-harmonic map, Ricci soliton, self-shrinker

Related publications

2014 Repository Open Access
Qun Chen, Jürgen Jost and Hongbing Qiu

Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications

In: Annals of global analysis and geometry, 46 (2014) 3, pp. 259-279