The Spectrum of the Hodge Laplacian for a Degenerating Family of Hyperbolic Three Manifolds

DOI10.2307/2154917zbMath0849.58069OpenAlexW4252907181MaRDI QIDQ4846056

Józef Dodziuk, Jeffrey McGowan

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2154917

zbMATH Keywords

Laplace operatorhyperbolic 3-manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Hodge theory in global analysis (58A14)

Related Items (3)

Dirac cohomology on manifolds with boundary and spectral lower bounds ⋮ Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds ⋮ Unnamed Item

Cites Work

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• Hodge theory on hyperbolic manifolds
• An optimal Poincaré inequality for convex domains
• Spectral geometry of singular Riemannian spaces
• The \(p\)-spectrum of the Laplacian on compact hyperbolic three manifolds
• The spectrum of degenerating hyperbolic 3-manifolds

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