Isospectral locally symmetric manifolds

DOI10.1512/iumj.2014.63.5242zbMath1314.58021arXivmath/0606540OpenAlexW2164002316MaRDI QIDQ5174995

David B. McReynolds

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606540

zbMATH Keywords

volumesymmetric spacestrong approximationsimple Lie groupHeisenberg groupsSunada's methodisospectral towerlattices in rank one groupsMargulis's dichotomy

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Other groups and their modular and automorphic forms (several variables) (11F55) Structure of modular groups and generalizations; arithmetic groups (11F06) Differential geometry of symmetric spaces (53C35) Isospectrality (58J53)

Related Items (7)

Integral Gassman equivalence of algebraic and hyperbolic manifolds ⋮ Counting isospectral manifolds ⋮ Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds ⋮ Families of mutually isospectral Riemannian orbifolds ⋮ Arbitrarily large families of spaces of the same volume ⋮ Quantum equivalent magnetic fields that are not classically equivalent ⋮ Traces, lengths, axes and commensurability

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