Existence and Liouville theorems for V -harmonic maps from complete manifolds
Existence and Liouville theorems for V -harmonic maps from complete manifolds
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DOI：
10.1007/s10455-012-9327-z
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发表时间：
2012-04
影响因子：
0.7
通讯作者：
Qun Chen;J. Jost;Hongbing Qiu
中科院分区：
文献类型：
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作者：
Qun Chen;J. Jost;Hongbing Qiu
建立了完备非紧流形上V-调和映射的存在唯一性定理。这类映射包括从Finsler流形到黎曼流形的Hermite调和映射、Weyl调和映射、仿射调和映射和Finsler调和映射。我们还得到了V-调和映射的Liouville型定理。另外，在Bakry-Emery Ricci条件下证明了一个V-Laplacian比较定理.
We establish existence and uniqueness theorems forV-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 forV-harmonic maps. In addition, we prove aV-Laplacian comparison theorem under the Bakry-Emery Ricci condition.