Tubes and eigenvalues for negatively curved manifolds

DOI10.1007/BF02921327zbMath0766.58054OpenAlexW1996734261MaRDI QIDQ1204882

Peter Buser, Bruno Colbois, Józef Dodziuk

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf02921327

zbMATH Keywords

Laplace-Beltrami operatorsmall eigenvalueslower bound on eigenvaluesmanifolds of negative sectional curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Coupling, spectral gap and related topics. II ⋮ On the boundary injectivity radius of Buser-Colbois-Dodziuk-Margulis tubes ⋮ Kissing numbers of closed hyperbolic manifolds ⋮ Discrete subgroups of small critical exponent ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds ⋮ Small eigenvalues of geometrically finite manifolds ⋮ Small eigenvalues of surfaces of finite type ⋮ The \(p\)-spectrum of the Laplacian on compact hyperbolic three manifolds

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