Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces
Combinatorics
2012-03-16 v2 Metric Geometry
Abstract
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.
Cite
@article{arxiv.1203.2053,
title = {Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces},
author = {M. Prażmowska and K. Prażmowski and M. Żynel},
journal= {arXiv preprint arXiv:1203.2053},
year = {2012}
}