Bottom of Spectra and Amenability of Coverings

DOI10.1007/978-3-030-34953-0_2zbMath1444.58011arXiv1803.07353OpenAlexW2791391915MaRDI QIDQ3300594

Henrik Matthiesen, Panagiotis Polymerakis, Werner Ballmann

Publication date: 29 July 2020

Published in: Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07353

zbMATH Keywords

bottom of spectrumamenable covering

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global differential geometry (53C99)

Related Items (2)

Coverings preserving the bottom of the spectrum ⋮ Bottom of spectra and coverings of orbifolds

Cites Work

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• The Hodge cohomology of a conformally compact metric
• Geometry of horospheres
• The fundamental group and the spectrum of the Laplacian
• Eigenvalue comparison theorems and its geometric applications
• Lattices in spaces of nonpositive curvature
• On the bottom of spectra under coverings
• On the spectrum of differential operators under Riemannian coverings
• The bottom of the spectrum of a Riemannian covering.
• A note on the isoperimetric constant
• Differential equations on riemannian manifolds and their geometric applications

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