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Isospectral metrics on five-dimensional spheres | Dorothee Schueth
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16 Feb 2001 | Journal: | J. Diff. Geometry 58 (2001), 87 - 111 | Subject: | Differential Geometry; Spectral Theory MSC-class: 58J53 | math.DG math.SP | Abstract: | We construct isospectral pairs of Riemannian metrics on S^5 and on B^6, thus lowering by three the dimension of spheres and balls on which such metrics have been constructed previously (S^{nge 8} and B^{nge 9}). We also construct continuous families of isospectral Riemannian metrics on S^7 and on B^8. In each of these examples, the metrics can be chosen equal to the standard metric outside certain subsets of arbitrarily small volume. | Source: | arXiv, math.DG/0102126 | Services: | Forum | Review | PDF | Favorites |
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