论文标题
关于具有潜力的次细胞谐波图的稳定性
On stability of subelliptic harmonic maps with potential
论文作者
论文摘要
在本文中，我们研究了具有潜力的次细胞谐波图的稳定性问题。首先，我们得出了具有潜在的次要谐波图的第一个和第二个变化公式。结果，如果目标歧管具有非阳性曲率，并且电势的黑ess是无阳性的确定性的，则证明具有潜在的次谐图是稳定的。我们还给出了Leung类型的结果，涉及当目标歧管是尺寸$ \ geq 3 $的范围时，涉及亚细谐图的不稳定性。
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 $\geq 3$.
