4 papers
Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces
M. Prażmowska, K. Prażmowski, M. Żynel
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 s…
A note on orthogonality of subspaces in Euclidean geometry
J. Konarzewski, M. Żynel
We show that Euclidean geometry in suitably high dimension can be expressed as a theory of orthogonality of subspaces with fixed dimensions and fixed dimension of their meet.
Affine polar spaces derived from symplectic spaces, their geometry and representations: alternating semiforms
K. Prażmowski, M. Żynel
Deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific, symplectic, affine polar space. Similar geometry, called an \afsempol\ arises as a…
Grassmannians of lines defined in the geometry of a pseudo-polarity
K. Prażmowski, M. Żynel
The regular point-line geometry with respect to a pseudo-polarity is introduced. It is weaker than the underlying metric-projective geometry. The automorphism group of this geometr…