On Positive Sasakian Geometry

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dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.creatorNakamaye, Michael
dc.date2001-04-11
dc.date.accessioned2026-07-07T04:41:16Z
dc.date.available2026-07-07T04:41:16Z
dc.descriptionA Sasakian structure on a manifold is called {\it positive} if its basic first Chern class can be represented by a positive (1,1)-form with respect to its transverse holomorphic CR-structure. We prove a theorem that says that every positive Sasakian structure can be deformed to a Sasakian structure whose metric has positive Ricci curvature. This allows us by example to give a completely independent proof of a result of Sha and Yang [SY] that for every positive integer k the k-fold connected sum of $S^2\times S^3$ admits metrics of positive Ricci curvature.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0104126
dc.identifierhttp://arxiv.org/abs/math/0104126
dc.identifierGeometriae Dedicata 101: 93-102, 2003.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61287
dc.subjectDifferential Geometry
dc.subject53C25 53C12
dc.titleOn Positive Sasakian Geometry
dc.typetext

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