On the differential form spectrum of hyperbolic manifolds

Simple item page
dc.creatorCarron, Gilles
dc.creatorPedon, Emmanuel
dc.date2003-03-27
dc.date2005-03-09
dc.date.accessioned2026-07-07T06:18:28Z
dc.date.available2026-07-07T06:18:28Z
dc.descriptionWe give a lower bound for the bottom of the $L^2$ differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham Laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
dc.identifierhttps://arxiv.org/abs/math/0303348
dc.identifierhttp://arxiv.org/abs/math/0303348
dc.identifierAnn. Sc. Norm. Super. Pisa Cl. Sci. III (2004) 705--747
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94748
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.subjectSpectral Theory
dc.subject53C35, 58J50; Secondary 22E40, 34L15, 57T15
dc.titleOn the differential form spectrum of hyperbolic manifolds
dc.typetext

Files

Collections

arXiv