Archiv der Mathematik

, Volume 87, Issue 4, pp 375–385 | Cite as

One cannot hear orbifold isotropy type

Abstract.

We show that the isotropy types of the singularities of Riemannian orbifolds are not determined by the Laplace spectrum. Indeed, we construct arbitrarily large families of mutually isospectral orbifolds with different isotropy types. Finally, we show that the corresponding singular strata of two isospectral orbifolds may not be homeomorphic.

Mathematics Subject Classification (2000).

Primary 58J53 Secondary 53C20 

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  • Naveed Shams
    • 1
  • Elizabeth Stanhope
    • 2
  • David L. Webb
    • 3
  1. 1.Ann ArborUSA
  2. 2.Department of Mathematical SciencesLewis and Clark CollegePortlandUSA
  3. 3.Department of MathematicsDartmouth CollegeHanoverUSA

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