Geometry on the variety of subspaces with positive definite form: geometry of the Grassmann spaces over generalized hyperbolic spaces

DOI10.1007/s00022-021-00588-1zbMath1473.51018OpenAlexW3167675330WikidataQ115609508 ScholiaQ115609508MaRDI QIDQ2044464

Krzysztof Prażmowski

Publication date: 9 August 2021

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-021-00588-1

zbMATH Keywords

projective spacehyperbolic spaceGrassmann spaceexterior hyperbolic space

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

• Grassmann spaces of regular subspaces
• Subspaces and parallelity in semiaffine partial linear spaces
• An axiomatic description of the Strambach planes
• Defining co-punctuality in terms of line-orthogonality in plane hyperbolic geometry
• Euclidean geometry of orthogonality of subspaces
• GEOMETRY OF POLAR GRASSMANN SPACES
• Grassmannians of Classical Buildings
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