Liouville theorem for pseudoharmonic maps from Sasakian manifolds
Liouville theorem for pseudoharmonic maps from Sasakian manifolds
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DOI：
10.1016/j.geomphys.2014.03.004
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发表时间：
2013-11
影响因子：
1.5
通讯作者：
Yibin Ren;Guilin Yang;Tian Chong
中科院分区：
文献类型：
--
作者：
Yibin Ren;Guilin Yang;Tian Chong
本文推导了从满足CR次拉普拉斯比较性质的非紧完全Sasakian流形到具有非正截面曲率的单连通Riemannian流形的伪调和映射的次梯度估计。作为其应用，我们得到了伪调和映射的Liouville定理.在附录中，我们对该方法进行了改进，并将其应用于非紧完备Sasakian流形上的调和映射。
In this paper, we derive a sub-gradient estimate for pseudoharmonic maps from noncompact complete Sasakian manifolds which satisfy the CR sub-Laplace comparison property, to simply-connected Riemannian manifolds with nonpositive sectional curvature. As its application, we obtain some Liouville theorems for pseudoharmonic maps. In the Appendix, we modify the method and apply it to harmonic maps from noncompact complete Sasakian manifolds.