On the optimality of J. Cheeger and P. Buser inequalities

✍ Scribed by B. Colbois; A.-M. Matei

• Book ID: 104358220
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 234 KB
• Volume: 19
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(03)00035-4

✦ Synopsis

We study the relationship between the first eigenvalue of the Laplacian and Cheeger constant when the Cheeger constant converges to zero, in the case of compact Riemannian manifolds and of finite graphs.