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Martin Weilandt
Isospectral metrics on weighted projective spaces view print
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| Published: |
June 7, 2012 |
| Keywords: |
spectral geometry, Laplace operator, isospectral orbifolds, weighted projective space |
| Subject: |
Primary: 58J53, 58J50; Secondary: 53C20, 57R18 |
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Abstract
We construct the first examples of families of bad Riemannian orbifolds which are isospectral with respect to the Laplacian but not
isometric. In our case these are particular fixed weighted projective spaces equipped with isospectral metrics obtained by a
generalization of Schüth's version of the torus method.
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| Acknowledgements
This research was funded by the Berlin Mathematical School and partially funded by the DFG Sonderforschungsbereich SFB 647
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| Author information
Departamento de Matemática, Universidade Federal de Santa Catarina, Campus Universitário Trindade, Florianópolis/SC, 88040-900, Brazil
martin@mtm.ufsc.br
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