Prescription du spectre du laplacien de Hodge-de Rham dans une classe conforme

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dc.creatorJammes, Pierre
dc.date2006-01-30
dc.date2007-03-19
dc.date.accessioned2026-07-07T09:44:19Z
dc.date.available2026-07-07T09:44:19Z
dc.descriptionFor any compact manifold of dimension n>=5, we prescribe the volume and any finite part of the spectrum of the Hodge Laplacian acting on diffential forms of degree 1<p<n-1 (exept for p=n/2 if n is even), within a given conformal class. When n<5 and when p=0,1,n-1,n, and p=n/2 if n is even, this simultaneous prescription of the volume, the spectrum and the conformal class is known to be impossible.
dc.description18 pages, 4 figures, in french. v3: some errors corrected
dc.identifierhttps://arxiv.org/abs/math/0601738
dc.identifierhttp://arxiv.org/abs/math/0601738
dc.identifierComment. Math. Helv., 83 (3), p. 521-537, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162832
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J50, 58C40, 53A30
dc.titlePrescription du spectre du laplacien de Hodge-de Rham dans une classe conforme
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