Eigenvalue comparison theorems and its geometric applications

1975/10/01 by Shiu-Yuen Cheng, Shiu‐Yuen Cheng · 7 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms

paper · doi:10.1007/bf01214381

crossref issued 1975/10/01 · crossref published 1975/10/01 · crossref published-print 1975/10/01 · openalex publication_date 1975/10/01 · crossref created 2005/02/25 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/07/14 · openalex updated_date 2026/07/23

Citations

• Geometry of Manifolds
• Le Spectre d’une Variété Riemannienne

Cited by

• A diameter sphere theorem for manifolds of positive ricci curvature
• Manifolds of positive Ricci curvature with almost maximal volume
• A lower bound for the heat kernel
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
• Approximation of the spectrum of a manifold by discretization
• Splitting theorems on complete manifolds with Bakry-Émery curvature
• Heinz mean curvature estimates in warped product spaces M× _e^ψ N M × e ψ N
• Shiu-Yuen Cheng [wikipedia]