On the existence of Kähler metrics of constant scalar curvature

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dc.creatorTsuboi, Kenji
dc.date2009-02-05
dc.date.accessioned2026-07-07T12:38:13Z
dc.date.available2026-07-07T12:38:13Z
dc.descriptionFor certain compact complex Fano manifolds $M$ with reductive Lie algebras of holomorphic vector fields, we determine the analytic subvariety of the second cohomology group of $M$ consisting of Kähler classes whose Bando-Calabi-Futaki character vanishes. Then a Kähler class contains a Kähler metric of constant scalar curvature if and only if the Kähler class is contained in the analytic subvariety. On examination of the analytic subvariety, it is shown that $M$ admits infinitely many nonhomothetic Kähler classes containing Kähler metrics of constant scalar curvature but does not admit any Kähler-Einstein metric.
dc.identifierhttps://arxiv.org/abs/0902.0861
dc.identifierhttp://arxiv.org/abs/0902.0861
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218678
dc.subjectDifferential Geometry
dc.subject53C25; 53C55
dc.titleOn the existence of Kähler metrics of constant scalar curvature
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