Natural Intrinsic Geometrical Symmetries

A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneo...

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Main Authors: Stefan Haesen, Leopold Verstraelen
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.086
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author Stefan Haesen
Leopold Verstraelen
author_facet Stefan Haesen
Leopold Verstraelen
author_sort Stefan Haesen
collection DOAJ
description A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneous and isotropic, or, still, the spaces which satisfy the axiom of free mobility.
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spelling doaj.art-5c9a16bc44a444e8943e1f8c1aefbb102022-12-21T19:11:48ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-09-015086Natural Intrinsic Geometrical SymmetriesStefan HaesenLeopold VerstraelenA proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneous and isotropic, or, still, the spaces which satisfy the axiom of free mobility.http://dx.doi.org/10.3842/SIGMA.2009.086parallel transportholonomyspaces of constant curvaturepseudo-symmetry
spellingShingle Stefan Haesen
Leopold Verstraelen
Natural Intrinsic Geometrical Symmetries
Symmetry, Integrability and Geometry: Methods and Applications
parallel transport
holonomy
spaces of constant curvature
pseudo-symmetry
title Natural Intrinsic Geometrical Symmetries
title_full Natural Intrinsic Geometrical Symmetries
title_fullStr Natural Intrinsic Geometrical Symmetries
title_full_unstemmed Natural Intrinsic Geometrical Symmetries
title_short Natural Intrinsic Geometrical Symmetries
title_sort natural intrinsic geometrical symmetries
topic parallel transport
holonomy
spaces of constant curvature
pseudo-symmetry
url http://dx.doi.org/10.3842/SIGMA.2009.086
work_keys_str_mv AT stefanhaesen naturalintrinsicgeometricalsymmetries
AT leopoldverstraelen naturalintrinsicgeometricalsymmetries