On stability of subelliptic harmonic maps with potential
Differential Geometry
2022-11-03 v1
Abstract
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 .
Cite
@article{arxiv.2211.01151,
title = {On stability of subelliptic harmonic maps with potential},
author = {Tian Chong and Yuxin Dong and Guilin Yang},
journal= {arXiv preprint arXiv:2211.01151},
year = {2022}
}