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An Isospectral Deformation on an Infranil-Orbifold

  Published:2010-07-26
 Printed: Dec 2010
  • Emily Proctor,
    Middlebury College, Department of Mathematics, Middlebury, VT, U.S.A.
  • Elizabeth Stanhope,
    Lewis & Clark College, Department of Mathematical Sciences, Portland, OR, U.S.A.
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Abstract

We construct a Laplace isospectral deformation of metrics on an orbifold quotient of a nilmanifold. Each orbifold in the deformation contains singular points with order two isotropy. Isospectrality is obtained by modifying a generalization of Sunada's theorem due to DeTurck and Gordon.
Keywords: spectral geometry, global Riemannian geometry, orbifold, nilmanifold spectral geometry, global Riemannian geometry, orbifold, nilmanifold
MSC Classifications: 58J53, 53C20 show english descriptions Isospectrality
Global Riemannian geometry, including pinching [See also 31C12, 58B20]
58J53 - Isospectrality
53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
 

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