CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publications → journals → CMB
Publications        
Abstract view

An Isospectral Deformation on an Infranil-Orbifold
Open Access article
  Published:2010-07-26
 Printed: Dec 2010
Canadian Mathematical Bulletin
  • 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.
Format:   HTML   LaTeX   MathJax   PDF  

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]
 
© Canadian Mathematical Society, 2017 : https://cms.math.ca/