Complex Structures on some Stiefel Manifolds

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dc.creatorOrnea, Liviu
dc.creatorPiccinni, Paolo
dc.date2000-08-29
dc.date.accessioned2026-07-07T04:37:01Z
dc.date.available2026-07-07T04:37:01Z
dc.descriptionWe discuss conditions for the integrability of an almost complex structure defined on the total space of an induced Hopf S^3-bundle over a Sasakian manifold . As an application, we obtain an uncountable family of inequivalent complex structures on the Stiefel manifolds of orthonormal 2-frames in C^{n+1}, non compatible with its standard hypercomplex structure. Similar families of complex structures are constructed on the Stiefel manifold of oriented orthonormal 4-frames in R^{n+1}, as well as on some special Stiefel manifolds related to the groups G_2 and Spin(7).
dc.descriptionLaTex, 11 pages, to be published in Bull. Soc. Sc. Math. Roumanie, Volume in memory of G. Vranceanu
dc.identifierhttps://arxiv.org/abs/math/0008213
dc.identifierhttp://arxiv.org/abs/math/0008213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59811
dc.subjectDifferential Geometry
dc.subject53C15, 53C25, 53C55
dc.titleComplex Structures on some Stiefel Manifolds
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