Geodesic
An Isospectral Deformation on an Infranil-Orbifold
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 684-689

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DOI

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.
DOI : 10.4153/CMB-2010-074-8
Mots-clés : 58J53, 53C20, spectral geometry, global Riemannian geometry, orbifold, nilmanifold 
Proctor, Emily; Stanhope, Elizabeth. An Isospectral Deformation on an Infranil-Orbifold. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 684-689. doi: 10.4153/CMB-2010-074-8
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     author = {Proctor, Emily and Stanhope, Elizabeth},
     title = {An {Isospectral} {Deformation} on an {Infranil-Orbifold}},
     journal = {Canadian mathematical bulletin},
     pages = {684--689},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-074-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-074-8/}
}
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