Spectrally similar incommensurable 3‐manifolds

DOI10.1112/plms.12045zbMath1375.57022arXiv1609.00748OpenAlexW3123097289MaRDI QIDQ5357351

Christian Millichap, David Futer

Publication date: 15 September 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00748

zbMATH Keywords

Kleinian groupshyperbolic manifoldsisospectralitylength spectrum

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Isospectrality (58J53)

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Determining hyperbolic 3-manifolds by their surfaces ⋮ Counting and effective rigidity in algebra and geometry ⋮ Symmetries and hidden symmetries of \((\varepsilon, d_L)\)-twisted knot complements ⋮ Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds ⋮ The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds ⋮ Rigorous computations with an approximate Dirichlet domain ⋮ Counting problems for geodesics on arithmetic hyperbolic surfaces

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