An isospectral deformation on an orbifold quotient of a nilmanifold
classification
🧮 math.DG
keywords
deformationorbifoldisospectralnilmanifoldquotientconstructcontainsdeturck
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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.
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