Isospectrality of flat Lorentz 3-manifolds.
type: Item
instance of: scholarly article
title: Isospectrality of flat Lorentz 3-manifolds.
zbMATH Open document ID: 1036.53048
author: Todd A. Drumm
author: William M. Goldman
published in: Journal of Differential Geometry
publication date: 2002-08-15T00:00:00Z
review text: Using methods of \textit{G. A. Margulis} [Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 190--205 (1984; Zbl 0547.57030)], the authors prove that the isometry of a hyperbolic flat Lorentzian 3-manifold is uniquely determined by its marked geodesic length spectrum. A similar result is obtained for flat Lorentzian 3-manifolds with free fundamental group. The first result has been generalised to arbitrary dimensions by Inkang Kim (unpublished when the review was written).
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 1782695
zbMATH Keywords: Lorentzian geometry
zbMATH Keywords: marked geodesic length spectrum
zbMATH Keywords: flat Lorentz manifolds
Wikidata QID: Q115202272
reviewed by: Sebastian Goette
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1090348355
OpenAlex ID: W1542330749
DOI: 10.4310/JDG/1090348355
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description: scientific article; zbMATH DE number 1782695