isospectral deformation
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2010 ◽  
Vol 53 (4) ◽  
pp. 684-689
Author(s):  
Emily Proctor ◽  
Elizabeth Stanhope

AbstractWe 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.


2008 ◽  
Vol 78 (5) ◽  
Author(s):  
Yukihiro Ota ◽  
Masamitsu Bando ◽  
Yasusi Kondo ◽  
Mikio Nakahara

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