Invariant complex structures on four-dimensional solvable real Lie groups
type: Item
instance of: scholarly article
title: Invariant complex structures on four-dimensional solvable real Lie groups
zbMATH Open document ID: 0715.22008
DOI: 10.1007/BF02568505
author: Joanne Erdman Snow
published in: Manuscripta Mathematica
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155481
review text: The author gives a classification of real solvable Lie groups of dimension four together with their left-invariant complex structures, under the assumption that the commutator subgroup has dimension less than three. She uses the decomposition of the complexification of the Lie algebra in the holomorphic and anti-holomorphic part.
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 4177405
zbMATH Keywords: real solvable Lie groups
zbMATH Keywords: left-invariant complex structures
zbMATH Keywords: decomposition
zbMATH Keywords: complexification
zbMATH Keywords: Lie algebra
Wikidata QID: Q115392007
reviewed by: Jean-Jacques Loeb
MaRDI profile type: Publication
cites work: Zur Differentialgeometrie der komplexen Strukturen
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cites work: Closed Manifolds with Homogeneous Complex Structure
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description: scientific article; zbMATH DE number 4177405