Existence and Liouville theorems for V -harmonic maps from complete manifolds

被引：0
作者：
Qun Chen
Jürgen Jost
Hongbing Qiu
机构：
[1] Wuhan University,School of Mathematics and Statistics
[2] Max Planck Institute for Mathematics in the Sciences,Department of Mathematics
[3] Leipzig University,undefined
来源：
Annals of Global Analysis and Geometry | 2012年 / 42卷
关键词：
-Harmonic map; Noncompact manifold; Existence; Liouville theorem; -Laplacian comparison theorem; 58E20; 53C27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish existence and uniqueness theorems for V-harmonic maps from complete noncompact manifolds. This class of maps includes Hermitian harmonic maps, Weyl harmonic maps, affine harmonic maps, and Finsler harmonic maps from a Finsler manifold into a Riemannian manifold. We also obtain a Liouville type theorem for V-harmonic maps. In addition, we prove a V-Laplacian comparison theorem under the Bakry-Emery Ricci condition.
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页码：565 / 584
页数：19
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