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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Format: | Article |
Language: | English |
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National Academy of Science of Ukraine
2009-09-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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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. |
first_indexed | 2024-12-21T07:19:55Z |
format | Article |
id | doaj.art-5c9a16bc44a444e8943e1f8c1aefbb10 |
institution | Directory Open Access Journal |
issn | 1815-0659 |
language | English |
last_indexed | 2024-12-21T07:19:55Z |
publishDate | 2009-09-01 |
publisher | National Academy of Science of Ukraine |
record_format | Article |
series | Symmetry, Integrability and Geometry: Methods and Applications |
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 |