The first eigenvalue in a tower of coverings

DOI10.1090/S0273-0979-1985-15397-2zbMath0579.58031OpenAlexW2077427456MaRDI QIDQ3702179

Robert Brooks

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15397-2

zbMATH Keywords

eigenvalue problemsfirst eigenvalue of the Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds ⋮ Coarse non-amenability and covers with small eigenvalues.

Cites Work

• Unnamed Item
• Riemannian coverings and isospectral manifolds
• The fundamental group and the spectrum of the Laplacian
• The bottom of the spectrum of a Riemannian covering.
• The spectral geometry of the apollonian packing
• Amenability and the spectrum of the Laplacian
• A note on the isoperimetric constant
• Small eigenvalues of the Laplace operator on compact Riemann surfaces

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