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Cheeger constants of arithmetic hyperbolic 3-manifolds

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Publication:610621
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zbMath1207.58024MaRDI QIDQ610621

Dominic Lanphier, Jason Rosenhouse

Publication date: 8 December 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1286212915


zbMATH Keywords

Cheeger constanthyperbolic \(3\)-manifoldfirst eigenvalue estimate


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)




Cites Work

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  • The arithmetic and geometry of some hyperbolic three manifolds
  • On Cheeger's inequality
  • Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
  • Cheeger constants of Platonic graphs.
  • On the asymptotic isoperimetric constants for Riemann surfaces and graphs.
  • Heegaard splittings, the virtually Haken conjecture and property \((\tau)\)
  • Generators and relations for certain special linear groups
  • Isoperimetric numbers of graphs
  • A note on the isoperimetric constant
  • A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$


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