Partial regularity of harmonic maps from Alexandrov spaces
Differential Geometry
2019-07-24 v1
Abstract
In this paper, we prove the Lipschitz regularity of continuous harmonic maps from an finite dimensional Alexandrov space to a compact smooth Riemannian manifold. This solves a conjecture of F. H. Lin in \cite{lin97}. The proof extends the argument of Huang-Wang \cite {hua-w10}.
Keywords
Cite
@article{arxiv.1907.09646,
title = {Partial regularity of harmonic maps from Alexandrov spaces},
author = {Huabin Ge and Wenshuai Jiang and Hui-Chun Zhang},
journal= {arXiv preprint arXiv:1907.09646},
year = {2019}
}