Partial regularity of harmonic maps from Alexandrov spaces

Huabin Ge Renmin University of China Wenshuai Jiang Zhejiang University Hui-Chun Zhang Sun Yat-sen University

Differential Geometry Metric Geometry mathscidoc:1908.10005

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 [36]. The proof extends the argument of Huang-Wang [26].
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@inproceedings{huabinpartial,
  title={Partial regularity of harmonic maps from Alexandrov spaces},
  author={Huabin Ge, Wenshuai Jiang, and Hui-Chun Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190816234845370721411},
}
Huabin Ge, Wenshuai Jiang, and Hui-Chun Zhang. Partial regularity of harmonic maps from Alexandrov spaces. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190816234845370721411.
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