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Existence and Liouville theorems for V -harmonic maps from complete manifolds |
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| Authors: | Qun Chen Jürgen Jost Hongbing Qiu |
| Affiliation: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China 2. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103, Leipzig, Germany 3. Department of Mathematics, Leipzig University, 04091, Leipzig, Germany |
| Abstract: | 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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