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

Qun Chen, Jürgen Jost, and Hongbing Qiu

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Submission date: 16. Jul. 2014
Pages: 23
published in: Annals of global analysis and geometry, 46 (2014) 3, p. 259-279 
DOI number (of the published article): 10.1007/s10455-014-9422-4
Bibtex
MSC-Numbers: 58E20, 53C27
Keywords and phrases: Omori-Yau maximum principle, V-Laplacian, V-harmonic map, Ricci soliton, self-shrinker
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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.