Translations and the holonomy of complete affine flat manifolds
type: Item
instance of: scholarly article
title: Translations and the holonomy of complete affine flat manifolds
zbMATH Open document ID: 0831.53041
author: Todd A. Drumm
published in: Mathematical Research Letters
publication date: 1995-09-10T00:00:00Z
review text: The holonomy of complete affine flat manifolds is studied. For instance, if \(M = M^{2n + 1}\) with odd \(n\) is such a manifold and the linear holonomy of \(M\) is conjugate to a subgroup of \(\text{SO} (n + 1,n)\) as well as Zariski dense in \(\text{SO} (n + 1, n)\) then the holonomy is torsion-free. The proofs use results of G. Margulis and properties of purely hyperbolic elements of \(\text{SO} (n+1, n)\).
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 51N25
zbMATH DE Number: 794201
zbMATH Keywords: holonomy
zbMATH Keywords: affine flat manifolds
reviewed by: Rainer Schimming
MaRDI profile type: Publication
full work available at URL: mrl.1994.v1.n6.a11
OpenAlex ID: W2010361064
DOI: 10.4310/MRL.1994.V1.N6.A11
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description: scientific article; zbMATH DE number 794201