Kähler and Sasakian-Einstein Quotients

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dc.creatorDrăgulete, Oana Mihaela
dc.date2008-03-17
dc.date.accessioned2026-07-07T09:27:04Z
dc.date.available2026-07-07T09:27:04Z
dc.descriptionWe construct symplectic and Kähler ray reduced spaces and discuss their relation with the Marsden-Weinstein (point) reduction. This Kähler reduction is well defined even when the momentum value is not totally isotropic. The compatibility of the ray reduction with the cone construction and the Boothby-Wang fibration is presented. Using the compatibility with the cone construction we provide the exact description of ray quotients of cotangent bundles. Some applications of the ray reduction to the study of conformal Hamiltonian systems are described. We also give necessary and sufficient conditions for the (ray) quotients of Kähler (Sasakian)-Einstein manifolds to be again Kähler (Sasakian)-Einstein.
dc.description31 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.2301
dc.identifierhttp://arxiv.org/abs/0803.2301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156971
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D05; 53D10; 53D20; 53C25; 37J05; 37J15
dc.titleKähler and Sasakian-Einstein Quotients
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