Elementary construction of subharmonic exhaustion functions

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By 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.

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Differential Geometry, 31C12

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http://salesiana.dossiersoluciones.com/handle/123456789/71352

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405533
 http://arxiv.org/abs/math/0405533

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arXiv