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of 32
pro vyhledávání: '"Rossetti, J. P."'
We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, $\Delta_f$, acting on sections of the full exterior bundle over an arbitrary compact flat Riemannian n-manifold M with holonomy group Z_2^k, with 0
Externí odkaz:
http://arxiv.org/abs/math/0408285
Autor:
Rossetti, J. P., Conway, J. H.
A `platycosm' is a flat Riemannian 3-manifold without boundary. In this paper we prove that there is (up to scale) a unique isospectral pair of compact platycosms.
Comment: To appear in Math. Res. Lett. (2006). 20 pages, 20 figures. Minor change
Comment: To appear in Math. Res. Lett. (2006). 20 pages, 20 figures. Minor change
Externí odkaz:
http://arxiv.org/abs/math/0311470
Autor:
Miatello, R. J., Rossetti, J. P.
Publikováno v:
J. Geometric Analysis, vol 11 (2001)
We study isospectrality on p-forms of compact flat manifolds by using the equivariant spectrum of the Hodge-Laplacian on the torus. We give an explicit formula for the multiplicity of eigenvalues and a criterion for isospectrality. We construct a var
Externí odkaz:
http://arxiv.org/abs/math/0303276
Autor:
Gordon, Carolyn S., Rossetti, J. P.
Let $M$ be a $2m$-dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on $m$-forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the
Externí odkaz:
http://arxiv.org/abs/math/0111016
Autor:
Miatello, R. J., Rossetti, J. P.
We study the length, weak length and complex length spectrum of closed geodesics of a compact flat Riemannian manifold, comparing length-isospectrality with isospectrality of the Laplacian acting on p-forms. Using integral roots of the Krawtchouk pol
Externí odkaz:
http://arxiv.org/abs/math/0110325
Autor:
Rossetti, J. P., Tirao, P. A.
Publikováno v:
Proceedings of the American Mathematical Society, 1996 Aug 01. 124(8), 2491-2499.
Externí odkaz:
https://www.jstor.org/stable/2161637
Publikováno v:
[Research Report] Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, IRD, Univ. Gustave Eiffel, ISTerre, 38000 Grenoble, France. 2013
Terrestrial laser scanner has been used to detect rockfalls which occurred in a high rock wall of the Subalpine Chains, from a survey station located up to 900 m from the cliff. Using a threshold of 0.1 m in term of distance variation, 344 rockfalls
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2191::5715c61de2d944c4211452caba6b5582
https://hal-insu.archives-ouvertes.fr/insu-03598668
https://hal-insu.archives-ouvertes.fr/insu-03598668
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