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Length and Eigenvalue Equivalence

  • Published:2007-01-01 Issue: Volume:2007 Page:
  • ISSN:1687-0247
  • Container-title:International Mathematics Research Notices
  • language:en
  • Short-container-title:

Author:

Leininger C. J.1,McReynolds D. B.2,Neumann W. D.3,Reid A. W.4

Affiliation:

1. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

2. Department of Mathematics, University of Chicago, Chicago, IL 60637

3. Department of Mathematics, Barnard College, Columbia University, New York, NY 10027

4. Department of Mathematics, University of Texas, Austin, TX 78712

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference28 articles.

1. The spectral geometry of a tower of coverings;Brooks;Journal of Differential Geometry,1986

2. Drums that sound the same;Chapman;American Mathematical Monthly,1995

3. Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds.;Chinburg,2006

4. The length spectra of some compact manifolds;Gangolli;Journal of Differential Geometry,1977

5. Isospectral plane domains and surfaces via Riemannian orbifolds;Gordon;Inventiones Mathematicae,1992

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The sub-Riemannian length spectrum for screw motions of constant pitch on flat and hyperbolic 3-manifolds;Geometriae Dedicata;2024-02-26

2. Non-backtracking cycles: length spectrum theory and graph mining applications;Applied Network Science;2019-06-25

3. Mutations and short geodesics in hyperbolic 3-manifolds;Communications in Analysis and Geometry;2017

4. Equivalent trace sets for arithmetic Fuchsian groups;Proceedings of the American Mathematical Society;2016-07-06

5. Traces, lengths, axes and commensurability;Annales de la Faculté des sciences de Toulouse : Mathématiques;2014-12-14
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