Behavior of the Bergman kernel and metric near convex boundary points

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dc.creatorNikolov, Nikolai
dc.creatorPflug, Peter
dc.date2002-01-10
dc.date.accessioned2026-07-07T04:45:47Z
dc.date.available2026-07-07T04:45:47Z
dc.descriptionThe boundary behavior of the Bergman metric near a convex boundary point $z_0$ of a pseudoconvex domain $D\subset\CC^n$ is studied; it turns out that the Bergman metric at points $z\in D$ in direction of a fixed vector $X_0\in\CC^n$ tends to infinite, when z is approaching $z_0$, if and only if the boundary of D does not contain any analytic disc through $z_0$ in direction of $X_0$.
dc.identifierhttps://arxiv.org/abs/math/0201088
dc.identifierhttp://arxiv.org/abs/math/0201088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63087
dc.subjectComplex Variables
dc.subject32A25
dc.titleBehavior of the Bergman kernel and metric near convex boundary points
dc.typetext

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