Diameter preserving bijections between Grassmann spaces over Bezout domains

DOI10.1007/s10711-008-9295-4zbMath1196.51002OpenAlexW1970684172MaRDI QIDQ1014908

Li-Ping Huang

Publication date: 29 April 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9295-4

zbMATH Keywords

projective spaceadjacencycollineationGrassmann spacediameter preservingBezout domain

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) General theory of distance geometry (51K05) Modular lattices, Desarguesian lattices (06C05) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (7)

Endomorphisms of twisted Grassmann graphs ⋮ Geometric structures on finite- and infinite-dimensional Grassmannians ⋮ Cores and independence numbers of Grassmann graphs ⋮ Extending Hua's theorem on the geometry of matrices to Bézout domains ⋮ Geometry of Alternate Matrices over Bezout Domains ⋮ Good distance graphs and the geometry of matrices ⋮ Automorphisms of Grassmann graphs over a residue class ring

Cites Work

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• Geometry of block triangular matrices over a division ring
• On bijections that preserve complementarity of subspaces
• On the geometry of algebraic homogeneous spaces
• Morphisms of projective spaces over rings

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