Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds

DOI10.1215/S0012-7094-92-06508-2zbMath0776.58040MaRDI QIDQ1187733

Alan W. Reid

Publication date: 23 July 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hyperbolic manifoldisospectralitycommensurability

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) Structure of modular groups and generalizations; arithmetic groups (11F06) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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