English

Gradient Estimate of subelliptic harmonic maps with potential

Differential Geometry 2022-04-18 v1

Abstract

In this paper, we investigate subelliptic harmonic maps with potential from noncompact complete sub-Riemannian manifolds corresponding to totally geodesic Riemannian foliations. Under some suitable conditions, we give the gradient estimates of these maps and establish a Liouville type result.

Keywords

Cite

@article{arxiv.2204.07463,
  title  = {Gradient Estimate of subelliptic harmonic maps with potential},
  author = {Han Luo},
  journal= {arXiv preprint arXiv:2204.07463},
  year   = {2022}
}

Comments

18 pages. Any comments are welcome!

R2 v1 2026-06-24T10:49:11.172Z