Traces, lengths, axes and commensurability

DOI10.5802/afst.1438zbMath1322.57002OpenAlexW2316790336MaRDI QIDQ2339515

Alan W. Reid

Publication date: 1 April 2015

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2014_6_23_5_1103_0/

zbMATH Keywords

surveyhyperbolic manifoldcommensurabilitylength spectrumaxes setlength set

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Geometric structures on manifolds of high or arbitrary dimension (57N16) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

Related Items (3)

Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds ⋮ Geodesic intersections and isoxial Fuchsian groups ⋮ Rigorous computations with an approximate Dirichlet domain

Cites Work

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• A characterization of arithmetic Fuchsian groups
• On the first Betti number of a constant negatively curved manifold
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• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
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• Compactness of the set of isospectral nets and its consequences
• Equivalent trace sets for arithmetic Fuchsian groups
• Hurwitz groups: A brief survey
• Constructing Isospectral Manifolds
• On Fuchsian Groups with the Same Set of Axes
• Isospectral locally symmetric manifolds
• Length and Eigenvalue Equivalence

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