On some Moment Maps and Induced Hopf Bundles in the Quaternionic Projective Space

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dc.creatorOrnea, Liviu
dc.creatorPiccinni, Paolo
dc.date2000-01-12
dc.date2000-08-29
dc.date.accessioned2026-07-07T04:33:18Z
dc.date.available2026-07-07T04:33:18Z
dc.descriptionWe describe a diagram containing the zero sets of the moment maps associated to the diagonal U(1) and Sp(1) actions on the quaternionic projective space HP^n. These sets are related both to focal sets of submanifolds and to Sasakian-Einstein structures on induced Hopf bundles. As an application, we construct a complex structure on the Stiefel manifolds V_2 (C^{n+1}) and V_4 (R^{n+1}), the one on the former manifold not being compatible with its known hypercomplex structure.
dc.descriptionRevised version, a more complete proof of a statement and some references were added. LaTex, 21 pages, to be published in Int. J. Math
dc.identifierhttps://arxiv.org/abs/math/0001066
dc.identifierhttp://arxiv.org/abs/math/0001066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58522
dc.subjectDifferential Geometry
dc.subject53C15, 53C25, 53C55
dc.titleOn some Moment Maps and Induced Hopf Bundles in the Quaternionic Projective Space
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