Adjacency preserving transformations of Grassmann spaces

DOI10.1007/BF02942551zbMath0981.51021OpenAlexW2041340347MaRDI QIDQ1969629

Yanyan Li

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02942551

zbMATH Keywords

Grassmann spaceadjacency preserving transformations

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (15)

On the axiomatics of projective and affine geometry in terms of line intersection ⋮ Prefix-Suffix Square Completion ⋮ A characterization of geometrical mappings of Grassmann spaces ⋮ Base subsets of Grassmannians: infinite dimensional case ⋮ Geometric structures on finite- and infinite-dimensional Grassmannians ⋮ On embeddings of Grassmann graphs in polar Grassmann graphs ⋮ Embeddings of Grassmann graphs ⋮ Transformations of polar Grassmannians preserving certain intersecting relations ⋮ On orthogonality-preserving Plücker transformations of hyperbolic spaces ⋮ Projective representations. II: Generalized chain geometries ⋮ Diameter preserving bijections between Grassmann spaces over Bezout domains ⋮ Top stars and isomorphisms of Grassmann graphs ⋮ On bijections that preserve complementarity of subspaces ⋮ Transformations preserving adjacency and base subsets of spine spaces ⋮ Automorphisms of spine spaces

Cites Work

• Chow's theorem for linear spaces
• On the definition of isomorphisms of linear spaces
• On the geometry of algebraic homogeneous spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Adjacency preserving transformations of Grassmann spaces