Highly connected manifolds with positive Ricci curvature

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dc.creatorBoyer, Charles P
dc.creatorGalicki, Krzysztof
dc.date2005-08-10
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:47:44Z
dc.date.available2026-07-07T12:47:44Z
dc.descriptionWe prove the existence of Sasakian metrics with positive Ricci curvature on certain highly connected odd dimensional manifolds. In particular, we show that manifolds homeomorphic to the 2k-fold connected sum of S^{2n-1} x S^{2n} admit Sasakian metrics with positive Ricci curvature for all k. Furthermore, a formula for computing the diffeomorphism types is given and tables are presented for dimensions 7 and 11.
dc.descriptionThis is the version published by Geometry & Topology on 29 November 2006
dc.identifierhttps://arxiv.org/abs/math/0508189
dc.identifierhttp://arxiv.org/abs/math/0508189
dc.identifierGeom. Topol. 10 (2006) 2219-2235
dc.identifierdoi:10.2140/gt.2006.10.2219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221821
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C25, 57R55
dc.titleHighly connected manifolds with positive Ricci curvature
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