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Metric structures imposed on Grassmannians

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Publication:784764
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DOI10.1007/s13366-019-00480-9zbMath1448.51007OpenAlexW2996608033WikidataQ114687564 ScholiaQ114687564MaRDI QIDQ784764

Krzysztof Prażmowski, Mariusz Żynel

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-019-00480-9


zbMATH Keywords

conjugacyorthogonalitypolarityGrassmann spacespace of pencilsmetric projective geometry


Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Congruence and orthogonality in metric geometry (51F20) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)




Cites Work

  • Correlations of spaces of pencils
  • Dualities for infinite-dimensional projective geometries
  • Orthogonality of subspaces in metric-projective geometry
  • On a Characterization of Grassmann Space Representing the h-Dimensional Subspaces in a Projective Space
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