Espaces différentiables singuliers et corps de nombres algébriques. (Singular differentiable spaces and algebraic number fields)
type: Item
instance of: scholarly article
title: Espaces différentiables singuliers et corps de nombres algébriques. (Singular differentiable spaces and algebraic number fields)
zbMATH Open document ID: 0703.57017
author: Elsie Sterbin Gottlieb
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74895
review text: On étudie quelque propriétés différentiable de l'espace \(T_ H\), quotient du tore \(T^ n\) par un hyperplan irrationnel H. On montre d'une part que le groupe des composantes connexes de \(Diff(T_ H)\) est isomorphe au groupe des unités de l'algèbre des matrices à coefficients entiers qui stabilisent H, et d'autre part que ce groupe est isomorphe au groupe des unités d'un ordre d'un corps de nombres algébriques.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 58A40
Mathematics Subject Classification ID: 11R70
Mathematics Subject Classification ID: 57R50
zbMATH DE Number: 4153492
zbMATH Keywords: quotient of an n-torus by an irrational hyperplane
zbMATH Keywords: space of leaves of a foliation
zbMATH Keywords: singular differentiable space
zbMATH Keywords: group of units of an order
reviewed by: David Iglesias-Ponte
MaRDI profile type: Publication
OpenAlex ID: W2321807063
cites work: Q5521594
cites work: Q3963102
cites work: Iterated path integrals
cites work: Classification des feuilletages totalement géodésiques de codimension un
cites work: Q4513077
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cites work: Q3966795
DOI: 10.5802/AIF.1231
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 4153492