Complex product manifolds cannot be negatively curved

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dc.creatorSeshadri, Harish
dc.creatorZheng, Fangyang
dc.date2008-01-01
dc.date.accessioned2026-07-07T08:52:04Z
dc.date.available2026-07-07T08:52:04Z
dc.descriptionWe show that if $M = X \times Y$ is the product of two complex manifolds (of positive dimensions), then $M$ does not admit any complete Kähler metric with bisectional curvature bounded between two negative constants. More generally, a locally-trivial holomorphic fibre-bundle does not admit such a metric.
dc.description6 Pages. To appear in The Asian Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/0801.0284
dc.identifierhttp://arxiv.org/abs/0801.0284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145154
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.titleComplex product manifolds cannot be negatively curved
dc.typetext

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