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dc.title | Remarks on Grassmannian symmetric spaces | en |
dc.contributor.author | Zalabová, Lenka | |
dc.contributor.author | Žádník, Vojtěch | |
dc.relation.ispartof | Archivum Mathematicum | |
dc.identifier.issn | 0044-8753 Scopus Sources, Sherpa/RoMEO, JCR | |
dc.identifier.issn | 1212-5059 Scopus Sources, Sherpa/RoMEO, JCR | |
dc.date.issued | 2008 | |
utb.relation.volume | 44 | |
utb.relation.issue | 5 | |
dc.citation.spage | 569 | |
dc.citation.epage | 585 | |
dc.type | article | |
dc.language.iso | en | |
dc.publisher | Masarykova univerzita, Přírodovědecká fakulta | cs |
dc.relation.uri | http://www.maths.soton.ac.uk/EMIS/journals/AM/08-5/index.html | |
dc.subject | almost Grassmannian structures | en |
dc.subject | parabolic geometries | en |
dc.subject | symmetric spaces | en |
dc.subject | Weyl structures | en |
dc.description.abstract | The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |l|-graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-fat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free affine connection preserving the Grassmannian structure so that, with respect to this connection, the Grassmannian symmetric space is an affine symmetric space in the classical sense. | en |
utb.faculty | Faculty of Applied Informatics | |
dc.identifier.uri | http://hdl.handle.net/10563/1003133 | |
utb.identifier.obdid | 43869399 | |
utb.identifier.scopus | 2-s2.0-77951207921 | |
utb.identifier.wok | 000434507500015 | |
utb.source | j-scopus | |
dc.date.accessioned | 2013-02-24T06:51:43Z | |
dc.date.available | 2013-02-24T06:51:43Z | |
dc.description.sponsorship | Eduard Cech Center [LC505]; ESI Junior Fellows program; Grant Agency of Czech RepublicGrant Agency of the Czech Republic [201/06/P379] | |
dc.rights | Attribution-NonCommercial-NoDerivs 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.rights.access | openAccess | |
utb.contributor.internalauthor | Zalabová, Lenka | |
utb.wos.affiliation | [Zalabova, Lenka] Tomas Bata Univ, Fac Appl Informat, Zlin, Czech Republic; [Zalabova, Lenka] Int Erwin Schrodinger Inst Math Phys, Vienna, Austria; [Zadnik, Vojtech] Masaryk Univ, Fac Educ, Brno, Czech Republic |