Quaternionic Kähler Manifolds of Cohomogeneity One

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dc.creatorDancer, Andrew
dc.creatorSwann, Andrew
dc.date1998-08-21
dc.date1998-11-24
dc.date.accessioned2026-07-07T05:25:47Z
dc.date.available2026-07-07T05:25:47Z
dc.descriptionClassification results are given for (i) compact quaternionic Kähler manifolds with a cohomogeneity-one action of a semi-simple group, (ii) certain complete hyperKähler manifolds with a cohomogeneity-two action of a semi-simple group preserving each complex structure, (iii) compact 3-Sasakian manifolds which are cohomogeneity one with respect to a group of 3-Sasakian symmetries. Information is also obtained about non-compact quaternionic Kähler manifolds of cohomogeneity one and the cohomogeneity of adjoint orbits in complex semi-simple Lie algebras.
dc.description35 pages, LaTeX + AMS macros Extra hypothesis added to cohomogeneity two hyperKähler classification. To appear in Internat. J. Math
dc.identifierhttps://arxiv.org/abs/math/9808097
dc.identifierhttp://arxiv.org/abs/math/9808097
dc.identifierInternat. J. Math. 10 (1999), 541--570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77311
dc.subjectDifferential Geometry
dc.subject53C25 (Primary) 14L30, 32L25, 57S25 (Secondary)
dc.titleQuaternionic Kähler Manifolds of Cohomogeneity One
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