Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one

DOI10.4310/jdg/1214441370zbMath0599.53042OpenAlexW1491073353WikidataQ115184537 ScholiaQ115184537MaRDI QIDQ1080197

Marc Burger, Viktor Schroeder

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214441370

zbMATH Keywords

diameterfirst eigenvalueLaplaciancomplex hyperbolicsymmetric space of rank onereal hyperbolic

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of symmetric spaces (53C35)

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Homotopy type and volume of locally symmetric manifolds ⋮ Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory ⋮ Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds ⋮ Diameter of homogeneous spaces: an effective account ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ A bound for diameter of arithmetic hyperbolic orbifolds ⋮ Tubes and eigenvalues for negatively curved manifolds ⋮ On the structure of hyperbolic manifolds ⋮ The diameter and the mean distance of a Riemannian manifold ⋮ Small generators of cocompact arithmetic Fuchsian groups

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