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An Isospectral Deformation on an Infranil-Orbifold

Published online by Cambridge University Press:  20 November 2018

Emily Proctor  and
Elizabeth Stanhope
Emily Proctor
Affiliation:
Middlebury College, Department of Mathematics, Middlebury, VT, U.S.A. e-mail: eproctor@middlebury.edu
Elizabeth Stanhope
Affiliation:
Lewis & Clark College, Department of Mathematical Sciences, Portland, OR, U.S.A. e-mail: stanhope@lclark.edu
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Abstract

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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

58J5353C20spectral geometryglobal Riemannian geometryorbifoldnilmanifold
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 684 - 689
Copyright
Copyright © Canadian Mathematical Society 2010

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