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arXiv · 1203.2053

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

M. Prażmowska·K. Prażmowski·M. Żynel
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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.

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M. Prażmowska, K. Prażmowski, M. Żynel. 2012-03-14. Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces. https://arxiv.org/abs/1203.2053

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