Affine polar spaces derived from polar spaces and Grassmann structures defined on them
Metric Geometry
2012-08-23 v1 Combinatorics
Abstract
We prove that an affine polar space in the meaning of Cohen and Shult can be recovered from one of the three adjacency relations on a Grassmann structure over it. The result directly generalizes the results of our previous work where we use an affine space over a vector space equipped with a nondegenerate reflexive form as a starting point to the Cohen-Shult affine polar spaces.
Keywords
Cite
@article{arxiv.1208.4387,
title = {Affine polar spaces derived from polar spaces and Grassmann structures defined on them},
author = {K. Prażmowski and M. Żynel},
journal= {arXiv preprint arXiv:1208.4387},
year = {2012}
}