Einstein metrics on connected sums of $S^2\times S^3$

dc.creatorKollár, János
dc.date2004-02-09
dc.date.accessioned2026-07-07T05:05:17Z
dc.date.available2026-07-07T05:05:17Z
dc.descriptionThe aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of $S^2\times S^3$. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A Kähler--Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi--Boyer--Galicki method.
dc.identifierhttps://arxiv.org/abs/math/0402141
dc.identifierhttp://arxiv.org/abs/math/0402141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70109
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C25 (primary) 32Q20, 14J26 (secondary)
dc.titleEinstein metrics on connected sums of $S^2\times S^3$
dc.typetext

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