An isospectral deformation on an orbifold quotient of a nilmanifold

Details An isospectral deformation on an orbifold quotient of a nilmanifold An isospectral deformation on an orbifold quotient of a nilmanifold

2008-11-05

arxiv.org/abs/0811.0794v1

Mathematics

Differential Geometry

Scientific paper

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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