Isoparametric hypersurfaces with (g,m)=(6,2)

• 成果类型: Article
• 署名作者: Miyaoka, Reiko
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.177.1.2
• 发表日期: 2013
• 页码: 53-110
• 关键词: distinct principal curvatures; submanifolds

摘要

We prove that isoparametric hypersurfaces with (g,m) = (6,2) are homogeneous, which answers Dorfmeister-Nehers conjecture affirmatively and solves Yaus problem in the case g=6.