EXISTENCE OF SPECTRAL GAPS, COVERING MANIFOLDS AND RESIDUALLY FINITE GROUPS

DOI10.1142/S0129055X08003286zbMath1146.58021arXivmath-ph/0503005OpenAlexW2099152878MaRDI QIDQ3521571

Fernando Lledó, Olaf Post

Publication date: 26 August 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0503005

zbMATH Keywords

min-max principle

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) PDEs in connection with quantum mechanics (35Q40) Residual properties and generalizations; residually finite groups (20E26) Variational methods for second-order elliptic equations (35J20)

Related Items

Spectral preorder and perturbations of discrete weighted graphs ⋮ Complete manifolds with bounded curvature and spectral gaps ⋮ Boundary dynamics and topology change in quantum mechanics ⋮ Spectral gaps of the Laplacian on differential forms ⋮ The spectrum of continuously perturbed operators and the Laplacian on forms ⋮ The spectrum of the Laplacian on forms over flat manifolds ⋮ Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator ⋮ Eigenvalue bracketing for discrete and metric graphs ⋮ Spectral gaps and discrete magnetic Laplacians ⋮ Representation of non-semibounded quadratic forms and orthogonal additivity ⋮ Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary ⋮ An overview of periodic elliptic operators ⋮ Spectral gaps on complete Riemannian manifolds

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