A note on the characteristic classes of negatively curved manifolds

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dc.creatorLafont, J. -F.
dc.creatorRoy, R.
dc.date2004-10-05
dc.date.accessioned2026-07-07T07:43:16Z
dc.date.available2026-07-07T07:43:16Z
dc.descriptionWe give conceptual proofs of some well known results concerning compact non-positively curved locally symmetric spaces. We discuss vanishing and non-vanishing of Pontrjagin numbers and Euler characteristics for these locally symmetric spaces. We also establish vanishing results for Stiefel-Whitney numbers of (finite covers of) the Gromov-Thurston examples of negatively curved manifolds. We mention some geometric corollaries: the MinVol question, a lower bound for degrees of covers having tangential maps to the non-negatively curved duals, and estimates for the complexity of some representations of certain uniform lattices.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0410125
dc.identifierhttp://arxiv.org/abs/math/0410125
dc.identifierExpo. Math. 25 (2007), pgs. 21-35
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122760
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R20; 53C35; 57T10
dc.titleA note on the characteristic classes of negatively curved manifolds
dc.typetext

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