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MiS Preprint
67/2014
Omori-Yau maximum principles, V-harmonic maps and their geometric applications
Qun Chen, Jürgen Jost and Hongbing Qiu
Abstract
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.
