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math.DG2008★ 1 cited
An isospectral deformation on an orbifold quotient of a nilmanifold
Emily Proctor, Elizabeth Stanhope
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 isotrop…
math.DG2008
Spectral and geometric bounds on 2-orbifold diffeomorphism type
Emily Proctor, Elizabeth Stanhope
We show that a Laplace isospectral family of two dimensional Riemannian orbifolds, sharing a lower bound on sectional curvature, contains orbifolds of only a finite number of orbif…