Grassmannians of lines defined in the geometry of a pseudo-polarity

2012/03/12 by Prażmowski, K., Żynel, M.
#51A45 #51A50 #51F20 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1203.2658

Abstract

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 geometry is determined. This geometry can be also expressed as the geometry of regular lines and planes.

Related

• Embeddings of Line-grassmannians of Polar Spaces in Grassmann Varieties
• Projective Subgrassmannians of Polar Grassmannians
• A Characterization of Lines in Finite Lie Incidence Geometries of Classical Type
• Transformations of polar Grassmannians preserving certain intersecting relations
• Projective and birational geometry of Grassmannians and other special varieties