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arXiv · 1907.09646

Partial regularity of harmonic maps from Alexandrov spaces

Huabin Ge·Wenshuai Jiang·Hui-Chun Zhang
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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}.

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Huabin Ge, Wenshuai Jiang, Hui-Chun Zhang. 2019-07-23. Partial regularity of harmonic maps from Alexandrov spaces. https://arxiv.org/abs/1907.09646

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