Scattering theory for p-forms on hyperbolic real space

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dc.creatorAntoci, Francesca
dc.date2001-01-25
dc.date.accessioned2026-07-07T04:39:48Z
dc.date.available2026-07-07T04:39:48Z
dc.descriptionDue to spectral obstructions, a scattering theory in the Lax-Phillips sense for the wave equation for differential p-forms on H^{n+1} cannot be developed. As a consequence, Huygens' principle for the wave equation in this context does not hold. If we restrict the class of forms and we consider the case of coclosed p-forms on H^{n+1}, when n=2p, Huygens' principle does hold and thus in this case incoming and outgoing subspaces can be constructed.
dc.descriptionLaTeX, 10 pages
dc.identifierhttps://arxiv.org/abs/math/0101212
dc.identifierhttp://arxiv.org/abs/math/0101212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60820
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58G25, 35P25
dc.titleScattering theory for p-forms on hyperbolic real space
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