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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 086, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.086 (Mi sigma432) 		 
This article is cited in 40 scientific papers (total in 40 papers)

Natural Intrinsic Geometrical Symmetries

Stefan Haesena, Leopold Verstraelenb

a Simon Stevin Institute for Geometry, Wilhelminaweg 1, 2042 NN Zandvoort, The Netherlands
b Katholieke Universiteit Leuven, Department of Mathematics, Celestijnenlaan 200B bus 2400, B-3000 Leuven, Belgium
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DOI: https://doi.org/10.3842/SIGMA.2009.086
Abstract: 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.
Keywords: parallel transport; holonomy; spaces of constant curvature; pseudo-symmetry.
Received: April 8, 2009; in final form August 25, 2009; Published online September 2, 2009
Bibliographic databases:
Document Type: Article
MSC: 53A55; 53B20
Language: English
Citation: Stefan Haesen, Leopold Verstraelen, “Natural Intrinsic Geometrical Symmetries”, SIGMA, 5 (2009), 086, 15 pp.
Citation in format AMSBIB
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