次黎曼流形上的次椭圆调和映射梯度估计
Gradient Estimate of Subelliptic Harmonic Maps on Sub-Riemannnian Manifolds
摘要: 如果黎曼叶状结构的水平分布满足括号生成条件，则它是—类特殊的次黎曼流形。本文主要研究此类黎曼叶状结构上次椭圆调和映射的梯度估计及Liouville 定理。
Abstract: The Riemannian foliation is a special class of sub-Riemannian manifolds, if its hori-zontal distribution satisfies the bracket generating condition. In this paper, we study the gradient estimation of the subelliptic harmonic maps and the Liouville-type theorems.
文章引用：邹文婷. 次黎曼流形上的次椭圆调和映射梯度估计[J]. 应用数学进展, 2021, 10(11): 3912-3922. https://doi.org/10.12677/AAM.2021.1011416

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