Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces

We construct Grassmann spaces associated with the incidence geometry of regular and tangential subspaces of a symplectic copolar space, show that the underlying metric projective space can be recovered in terms of the corresponding adjacencies on so distinguished family of k-subspaces (geometrical d...

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Bibliographic Details
Published in:arXiv.org 2012-03
Main Authors: Prażmowska, M, Prażmowski, K, Żynel, M
Format: Article
Language:English
Subjects:
Automorphisms
Subspaces
Online Access:Get full text
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Summary:We construct Grassmann spaces associated with the incidence geometry of regular and tangential subspaces of a symplectic copolar space, show that the underlying metric projective space can be recovered in terms of the corresponding adjacencies on so distinguished family of k-subspaces (geometrical dimension of the space being not 2k+1), and thus we prove that bijections which preserve the adjacency are determined by automorphisms of the underlying space.
ISSN:2331-8422