Mathematische Zeitschrift

, Volume 281, Issue 1–2, pp 523–569 | Cite as

Small isospectral and nonisometric orbifolds of dimension 2 and 3

  • Benjamin LinowitzEmail author
  • John Voight


Revisiting a construction due to Vignéras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.


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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsDartmouth CollegeHanoverUSA
  3. 3.Department of Mathematics and StatisticsUniversity of VermontBurlingtonUSA

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