Partial Regularity of Harmonic Maps From Alexandrov Spaces-Reference-Cited by-同舟云学术

Partial Regularity of Harmonic Maps From Alexandrov Spaces

Published:2021-04-15 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Ge Huabin¹,Jiang Wenshuai²,Zhang Hui-Chun³

Affiliation:

1. School of Mathematics, Renmin University of China, Beijing, 100872, P.R. China

2. School of Mathematical Sciences, Zhejiang University, Hangzhou, 310058, P.R. China

3. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P.R. China

Abstract

Abstract In this paper, we prove the Lipschitz regularity of continuous harmonic maps from a finite-dimensional Alexandrov space to a compact smooth Riemannian manifold. This solves a conjecture of F. H. Lin in [38]. The proof extends the argument of Huang-Wang [28].

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Discovery Early Career Researcher Award

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab074/37075297/rnab074.pdf

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