A characterization of geometrical mappings of Grassmann spaces
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Publication:1888679
DOI10.1007/BF03323386zbMath1067.51014MaRDI QIDQ1888679
Publication date: 26 November 2004
Published in: Results in Mathematics (Search for Journal in Brave)
Grassmannians, Schubert varieties, flag manifolds (14M15) Incidence structures embeddable into projective geometries (51A45) 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 (5)
Base subsets of Grassmannians: infinite dimensional case ⋮ Base subsets of symplectic Grassmannians ⋮ Base subsets of polar Grassmannians ⋮ Transformations preserving adjacency and base subsets of spine spaces ⋮ Base subsets in symplectic Grassmannians of small indices
Cites Work
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- About full or injective lineations
- On isomorphisms of Grassmann spaces
- Morphisms of projective geometries and semilinear maps
- Transformations of Grassmannians and automorphisms of classical groups
- An elementary proof of the fundamental theorem of projective geometry
- Transformations of Grassmannians preserving the class of base subsets
- Basis preserving maps of linear spaces
- On the definition of isomorphisms of linear spaces
- Projections of \(k\)-dimensional subsets of \(\mathbb{R}^n\) onto \(k\)-dimensional planes and irregular subsets of the Grassmanian manifolds
- Adjacency preserving transformations of Grassmann spaces
- On the geometry of algebraic homogeneous spaces
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