Bounded Cohomology and Deformation Rigidity in Complex Hyperbolic Geometry

Simple item page
dc.creatorBurger, Marc
dc.creatorIozzi, Alessandra
dc.date2005-05-04
dc.date.accessioned2026-07-07T05:19:38Z
dc.date.available2026-07-07T05:19:38Z
dc.descriptionWe develop further basic tools in the theory of continuous bounded cohomology of locally compact groups. We apply this tools to establish a Milnor-Wood type inequality in a very general context and to prove a global rigidity result which was originally announced by the authors with a sketch of a proof using bounded cohomology techniques and then proven by Koziarz and Maubon using harmonic map techniques. As a corollary one obtains that a lattice in SU(p,1) cannot be deformed nontrivially in SU(q,1), if either p is at least 2 or the lattice is cocompact. This generalizes to noncocompact lattices a theorem of Goldman and Millson.
dc.description56 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0505069
dc.identifierhttp://arxiv.org/abs/math/0505069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75086
dc.subjectMetric Geometry
dc.subjectGroup Theory
dc.subject57S; 53
dc.titleBounded Cohomology and Deformation Rigidity in Complex Hyperbolic Geometry
dc.typetext

Files

Collections

arXiv