On Conformally Kaehler, Einstein Manifolds

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dc.creatorChen, Xiuxiong
dc.creatorLeBrun, Claude
dc.creatorWeber, Brian
dc.date2007-05-07
dc.date2007-05-30
dc.date.accessioned2026-07-07T08:09:16Z
dc.date.available2026-07-07T08:09:16Z
dc.descriptionWe prove that any compact complex surface with positive first Chern class admits an Einstein metric which is conformally related to a Kaehler metric. The key new ingredient is the existence of such a metric on the blow-up of the complex projective plane at two distinct points.
dc.description45 pages, 9 figures. Simplified proof of Lemma 25. Several minor corrections to section 5
dc.identifierhttps://arxiv.org/abs/0705.0710
dc.identifierhttp://arxiv.org/abs/0705.0710
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131488
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.subject53C25; 53C55
dc.titleOn Conformally Kaehler, Einstein Manifolds
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