Harmonic quasi-isometric maps between rank one symmetric spaces

• 成果类型: Article
• 署名作者: Benoist, Yves; Hulin, Dominique
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2017.185.3.4
• 发表日期: 2017
• 页码: 895-917
• 关键词: universal teichmuller space; hyperbolic spaces; dirichlet problem; REGULARITY; diffeomorphisms; CURVATURE; BOUNDARY

摘要

We prove that a quasi-isometric map between rank one symmetric spaces is within bounded distance from a unique harmonic map. Inparticular, this completes the proof of the Schoen-Li-Wang conjecture.