Immersion theorem for Vaisman manifolds

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dc.creatorOrnea, L.
dc.creatorVerbitsky, M.
dc.date2003-06-04
dc.date2003-06-22
dc.date.accessioned2026-07-07T04:58:34Z
dc.date.available2026-07-07T04:58:34Z
dc.descriptionA locally conformally Kaehler (LCK) manifold is a complex manifold admitting a Kaehler covering M, with monodromy acting on M by Kaehler homotheties. A compact LCK manifold is Vaisman if it admits a holomorphic flow acting by non-trivial homotheties on M. We prove a non-Kaehler analogue of Kodaira embedding theorem: any compact Vaisman manifold admits a natural holomorphic immersion to a Hopf manifold. As an application, we obtain that any Sasakian manifold has a contact immersion to an odd-dimensional sphere.
dc.description28 pages. A reference added
dc.identifierhttps://arxiv.org/abs/math/0306077
dc.identifierhttp://arxiv.org/abs/math/0306077
dc.identifierMath. Ann. 332 (2005), no. 1, 121--143.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67689
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject53C55, 14E25, 53C25
dc.titleImmersion theorem for Vaisman manifolds
dc.typetext

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