Sasakian-Einstein Structures on $9#(S^2\times S^3)$

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dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.creatorNakamaye, Michael
dc.date2001-02-22
dc.date.accessioned2026-07-07T04:40:20Z
dc.date.available2026-07-07T04:40:20Z
dc.descriptionWe show that $\scriptstyle{#9(S^2\times S^3)}$ admits an 8-dimensional complex family of inequivalent non-regular Sasakian-Einstein structures. These are the first known Einstein metrics on this 5-manifold. In particular, the bound $\scriptstyle{b_2(M)\leq8}$ which holds for any regular Sasakian-Einstein $\scriptstyle{M}$ does not apply to the non-regular case. We also discuss the failure of the Hitchin-Thorpe inequality in the case of 4-orbifolds and describe the orbifold version.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0102181
dc.identifierhttp://arxiv.org/abs/math/0102181
dc.identifierTransactions of the American Mathematical Society 354, 2983-2996 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60993
dc.subjectDifferential Geometry
dc.subject53C25,53C12,14E30
dc.titleSasakian-Einstein Structures on $9#(S^2\times S^3)$
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