Cohomogeneity one actions on noncompact symmetric spaces of rank one

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dc.creatorBerndt, Jurgen
dc.creatorTamaru, Hiroshi
dc.date2005-05-24
dc.date.accessioned2026-07-07T05:20:12Z
dc.date.available2026-07-07T05:20:12Z
dc.descriptionWe classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces of dimension greater than two. For the quaternionic hyperbolic spaces of dimension greater than two we reduce the classification problem to a problem in quaternionic linear algebra and obtain partial results. For real hyperbolic spaces, this classification problem was essentially solved by Elie Cartan.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0505490
dc.identifierhttp://arxiv.org/abs/math/0505490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75291
dc.subjectDifferential Geometry
dc.subject53C35; 57S20
dc.titleCohomogeneity one actions on noncompact symmetric spaces of rank one
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