Characteristic numbers of bounded domains
type: Item
instance of: scholarly article
title: Characteristic numbers of bounded domains
zbMATH Open document ID: 0704.32005
DOI: 10.1007/BF02392751
published in: Acta Mathematica
publication date: 1990-01-01T00:00:00Z
review text: The main problem is to find invariants of complex manifolds with strictly pseudoconvex boundaries. The tool here is the study of characteristic numbers coming from integrals of characteristic forms in the Einstein- Kähler metric. The characteristic numbers are biholomorphic invariants. This involves computations in CR-geometry both from the extrinsic point of view and from intrinsic point of view. Here is some illustrating corollary of the principal results: If N is a strictly pseudoconvex domain in \({\mathbb{C}}^ 2\) not covered by the unit ball, then Aut(N) is a compact group; A necessary condition for the embedding a CR-manifold into \({\mathbb{C}}^ 2\).
Mathematics Subject Classification ID: 32V99
zbMATH DE Number: 4154847
zbMATH Keywords: Einstein-Kähler metric
zbMATH Keywords: pseudoconvex domain
zbMATH Keywords: CR-manifold
author: Daniel Burns
author: Charles L. Epstein
reviewed by: Guy Laville
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4154847