Elementary construction of subharmonic exhaustion functions

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dc.creatorNapier, Terrence
dc.creatorRamachandran, Mohan
dc.date2004-05-27
dc.date.accessioned2026-07-07T05:08:39Z
dc.date.available2026-07-07T05:08:39Z
dc.descriptionBy a theorem of Greene and Wu, a noncompact connected Riemannian manifold admits a smooth strictly subharmonic exhaustion function. Demailly provided an elementary proof of this fact. A further simplification of Demailly's proof and some (mostly known) applications are described. Applications include the fact that the holomorphic line bundle associated to a nontrivial effective divisor on a compact connected complex manifold admits a smooth Hermitian metric with positive scalar curvature.
dc.identifierhttps://arxiv.org/abs/math/0405533
dc.identifierhttp://arxiv.org/abs/math/0405533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71352
dc.subjectDifferential Geometry
dc.subject31C12
dc.titleElementary construction of subharmonic exhaustion functions
dc.typetext

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