Affine action and Margulis invariant
type: Item
instance of: scholarly article
title: Affine action and Margulis invariant
zbMATH Open document ID: 1085.57024
author: Inkang Kim
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: For a complete flat affine manifold \(M\), Milnor has conjectured that the fundamental group \({\pi}_1(M)\) is virtually polycyclic. In this paper the author shows that two Zariski dense subgroups consisting of hyperbolic elements of \(\text{SO}(n+1,n)\times{\mathbb R}^{2n+1}\) with the same Margulis invariant are conjugated (Theorem A). The author studies the Margulis invariant and shows that this invariant completely determines the affine action up to translational conjugacy. He also considers in affine deformations an analogue of quasi-Fuchsian deformations of Fuchsian groups.
reviewed by: Neculai Papaghiuc
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 2141624
zbMATH Keywords: affine action
zbMATH Keywords: Margulis invariant
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.04.011
OpenAlex ID: W2002850650
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DOI: 10.1016/J.JFA.2004.04.011
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description: scientific article; zbMATH DE number 2141624