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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1086–1111
(Mi smj1121)
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This article is cited in 4 scientific papers (total in 4 papers)
Isospectral flat 3-manifolds
R. R. Isangulov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
A well-known problem about Riemannian manifolds asks whether the isospectral manifolds are isometric. We settle this problem for compact flat 3-manifolds.
Keywords:
isospectrality, flat 3-manifolds, heat equation on a manifold, covering, trace function.
Received: 25.12.2003
Citation:
R. R. Isangulov, “Isospectral flat 3-manifolds”, Sibirsk. Mat. Zh., 45:5 (2004), 1086–1111; Siberian Math. J., 45:5 (2004), 894–914
Linking options:
https://www.mathnet.ru/eng/smj1121 https://www.mathnet.ru/eng/smj/v45/i5/p1086
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Statistics & downloads: |
Abstract page: | 227 | Full-text PDF : | 80 | References: | 31 |
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