Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds
From MaRDI portal
Publication:953963
DOI10.1215/00127094-2008-045zbMath1169.53030OpenAlexW2087853067MaRDI QIDQ953963
Emily Hamilton, Darren D. Long, Ted Chinburg, Alan W. Reid
Publication date: 7 November 2008
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/00127094-2008-045
Geodesics in global differential geometry (53C22) Zeta functions and (L)-functions of number fields (11R42) Isospectrality (58J53)
Related Items
Determining hyperbolic 3-manifolds by their surfaces ⋮ Counting and effective rigidity in algebra and geometry ⋮ Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds ⋮ Locally equivalent correspondences ⋮ Outer automorphisms of algebraic groups and determining groups by their maximal tori. ⋮ Totally geodesic spectra of arithmetic hyperbolic spaces ⋮ Absolute profinite rigidity and hyperbolic geometry ⋮ On the fields generated by the lengths of closed geodesics in locally symmetric spaces ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Weakly commensurable arithmetic groups and isospectral locally symmetric spaces ⋮ Traces, lengths, axes and commensurability ⋮ Counting problems for geodesics on arithmetic hyperbolic surfaces ⋮ On the profinite rigidity of lattices in higher rank Lie groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Division algebras and noncommensurable isospectral manifolds
- Riemannian coverings and isospectral manifolds
- Isospectral and non-isometric Riemannian manifolds
- Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds
- The length spectra of some compact manifolds of negative curvature
- On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
- Tetra and Didi, the cosmic spectral twins
- Generating Symmetric Groups
- EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS