Bottom of spectra and coverings of orbifolds

DOI10.1142/S0129167X21400188zbMath1486.58017arXiv2110.04712OpenAlexW3213122953MaRDI QIDQ5021431

Panagiotis Polymerakis, Werner Ballmann

Publication date: 13 January 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04712

zbMATH Keywords

orbifoldconformally compactRiemannian coveringbottom of spectrumgeometrically finite

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items

On the spectrum of certain Hadamard manifolds ⋮ Normal covering spaces with maximal bottom of spectrum

Cites Work

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• The Hodge cohomology of a conformally compact metric
• The fundamental group and the spectrum of the Laplacian
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Eigenvalue comparison theorems and its geometric applications
• On the bottom of spectra under coverings
• Small eigenvalues of geometrically finite manifolds
• Geometrical finiteness with variable negative curvature
• On the spectrum of differential operators under Riemannian coverings
• Finiteness of small eigenvalues of geometrically finite rank one locally symmetric manifolds
• A Generalization of Folner's Condition.
• On groups with full Banach mean value
• Bottom of Spectra and Amenability of Coverings
• The bottom of the spectrum of a Riemannian covering.
• Foundations of Hyperbolic Manifolds
• A note on the isoperimetric constant
• Bottom of spectra and coverings
• The Geometries of 3-Manifolds
• Hyperbolic manifolds and discrete groups