On stability of subelliptic harmonic maps with potential

被引：0
作者：
Chong, Tian [1 ]
Dong, Yuxin [2 ,3 ]
Yang, Guilin [4 ]
机构：
[1] Shanghai Polytech Univ, Dept Math, Shanghai 201209, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[4] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2024年 / 94卷
关键词：
Sub-Riemannian manifolds; Subelliptic harmonic maps with potential; Stability;
D O I：
10.1016/j.difgeo.2024.102143
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the stability problem of subelliptic harmonic maps with potential. First, we derive the first and second variation formulas for subelliptic harmonic maps with potential. As a result, it is proved that a subelliptic harmonic map with potential is stable if the target manifold has nonpositive curvature and the Hessian of the potential is nonpositive definite. We also give Leung type results which involve the instability of subelliptic harmonic maps with potential when the target manifold is a sphere of dimension >= 3. (c) 2024 Elsevier B.V. All rights reserved.
引用
收藏
页数：7
相关论文
共 8 条
1