Weyl law for the volume spectrum

• 成果类型: Article
• 署名作者: Liokumovich, Yevgeny; Marques, Fernando C.; Neves, Andre
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.187.3.7
• 发表日期: 2018
• 页码: 933-961
• 关键词: minimal hypersurfaces; RICCI CURVATURE; EXISTENCE; width

摘要

Given M a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum {omega(Rho)(M)}(p is an element of N) satisfies a Weyl law that was conjectured by Gromov.