Pluricomplex Green Functions on Manifolds

Evgeny A. Poletsky

doi:10.1007/s12220-019-00350-9

Pluricomplex Green Functions on Manifolds

Evgeny A. Poletsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we prove the basic facts for pluricomplex Green functions on manifolds. The main goal is to establish properties of complex manifolds that make them analogous to relatively compact or hyperconvex domains in Stein manifolds.

Original language	English (US)
Pages (from-to)	1396-1410
Number of pages	15
Journal	Journal of Geometric Analysis
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s12220-019-00350-9
State	Published - Apr 1 2020

Keywords

Hyperconvex manifolds
Pluricomplex Green functions
Pluri–Green manifolds

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-019-00350-9

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KW - Pluri–Green manifolds

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Pluricomplex Green Functions on Manifolds

Abstract

Keywords

ASJC Scopus subject areas

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