, Volume 87, Issue 4, pp 375-385

One cannot hear orbifold isotropy type

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Abstract.

We show that the isotropy types of the singularities of Riemannian orbifolds are not determined by the Laplace spectrum. Indeed, we construct arbitrarily large families of mutually isospectral orbifolds with different isotropy types. Finally, we show that the corresponding singular strata of two isospectral orbifolds may not be homeomorphic.

Received: 6 October 2005