Liouville theorems of subelliptic harmonic maps

被引：1
|
作者：
Gao, Liu [1 ]
Lu, Lingen [2 ]
Yang, Guilin [3 ]
机构：
[1] Jinhua Polytech, Normal Sch, Jinhua 321017, Zhejiang, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201620, Peoples R China
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2022年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Subelliptic harmonic map; Liouville theorem; Vanishing-type theorem; Sub-Riemannian manifold; Totally geodesic Riemannian foliation; HARNACK INEQUALITY; UNIQUENESS; OPERATORS;
D O I：
10.1007/s10455-021-09811-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss two Liouville-type theorems for subelliptic harmonic maps from sub-Riemannian manifolds to Riemannian manifolds. One is the Dirichlet version which states that two subelliptic harmonic maps from a sub-Riemannian manifold with boundary to a regular ball must be same if their restrictions on boundary are same; it is generalized to complete noncompact domains as well. The other is the vanishing-type theorem for finite L p-energy subelliptic harmonic maps on complete noncompact totally geodesic Riemannian foliations which are special sub-Riemannian manifolds.
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页码：293 / 307
页数：15
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