Proper actions of lattices on contractible manifolds

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dc.creatorBestvina, Mladen
dc.creatorFeighn, Mark
dc.date2000-11-28
dc.date.accessioned2026-07-07T04:38:53Z
dc.date.available2026-07-07T04:38:53Z
dc.descriptionEvery lattice H in a connected semi-simple Lie group G acts properly discontinuously by isometries on the contractible manifold G/K (K a maximal compact subgroup of G). We prove that if H acts on a contractible manifold W and if either 1) the action is properly discontinuous, or 2) W is equipped with a complete Riemannian metric, the action is by isometries and with unbounded orbits, G is simple with finite center and rank >1, then dim W is not less than dim G/K.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0011238
dc.identifierhttp://arxiv.org/abs/math/0011238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60455
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.titleProper actions of lattices on contractible manifolds
dc.typetext

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