"Remarks on Grassmannian symmetric spaces" . . . "Remarks on Grassmannian symmetric spaces"@en . "2"^^ . . . "2"^^ . "RIV/00216224:14410/08:00025215" . . . "44" . . "CZ - \u010Cesk\u00E1 republika" . . "392279" . "Zalabov\u00E1, Lenka" . . "Remarks on Grassmannian symmetric spaces" . . . "[4F75D07DBCCA]" . "Archivum Mathematicum" . "RIV/00216224:14410/08:00025215!RIV10-GA0-14410___" . "14410" . "Remarks on Grassmannian symmetric spaces"@en . . . . "parabolic geometries; Weyl structures; almost Grassmannian structures; symmetric spaces"@en . . "P(GP201/06/P379), P(LC505)" . . "0044-8753" . "17"^^ . "\u017D\u00E1dn\u00EDk, Vojt\u011Bch" . "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 |1|-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-flat 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 . . "5" . . "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 |1|-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-flat 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." .