Isoperimetric inequalities, growth, and the spectrum of graphs
β Scribed by Bojan Mohar
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 760 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Let (M n , g) be a compact Riemannian manifold with boundary. In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalue where & 1 is a positive real number. The estimate from below is for a star-shaped domain on a manifold whose Ricci curvature is bounded from below.
We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the Ε½ . higher finiteness properties of a group in contrast to