Einstein Metrics on Rational Homology 7-Spheres

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dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.creatorNakamaye, Michael
dc.date2001-08-16
dc.date.accessioned2026-07-07T04:43:00Z
dc.date.available2026-07-07T04:43:00Z
dc.descriptionIn this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0108113
dc.identifierhttp://arxiv.org/abs/math/0108113
dc.identifierAnn Inst. Fourier, 52 (2002), 1569-1584.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62030
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C25, 53C12, 14E30
dc.titleEinstein Metrics on Rational Homology 7-Spheres
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