One cannot hear orbifold isotropy type |
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| Authors: | Naveed Shams Elizabeth Stanhope David L. Webb |
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| Affiliation: | (1) c/o Ahmed Azfar Moin, 1327 Minerva Road, Ann Arbor, MI 48104, USA;(2) Department of Mathematical Sciences, Lewis and Clark College, 0615 SW Palatine Hill Road, MSC 110, Portland, OR 97219, USA;(3) Department of Mathematics, Dartmouth College, Hanover, NH 03755, USA |
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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 |
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| Keywords: | Primary 58J53 Secondary 53C20 |
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