The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds

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dc.creatorXing, Yang
dc.date2007-05-15
dc.date.accessioned2026-07-07T08:01:38Z
dc.date.available2026-07-07T08:01:38Z
dc.descriptionWe introduce a wide subclass ${\cal F}(X,ω)$ of quasi-plurisubharmonic functions in a compact Kähler manifold, on which the complex Monge-Ampère operator is well-defined and the convergence theorem is valid. We also prove that ${\cal F}(X,ω)$ is a convex cone and includes all quasi-plurisubharmonic functions which are in the Cegrell class.
dc.identifierhttps://arxiv.org/abs/0705.2099
dc.identifierhttp://arxiv.org/abs/0705.2099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128971
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32W20, 32Q15
dc.titleThe General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds
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