Geometry of real Grassmannian manifolds. I, II

DOI10.1007/s10958-000-0008-2zbMath0918.53008OpenAlexW1966931217MaRDI QIDQ1129773

S. E. Kozlov

Publication date: 10 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-000-0008-2

zbMATH Keywords

decompositionbivectorsPlücker modelpolyvectorsreal Grassmannian manifold

Mathematics Subject Classification ID

Local submanifolds (53B25) Projective differential geometry (53A20) Exterior algebra, Grassmann algebras (15A75)

Related Items (7)

Classification of two-dimensional totally geodesic submanifolds in the Grassmannian \(G_{3,6}^+\) ⋮ Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians ⋮ Generalized normal homogeneous Riemannian metrics on spheres and projective spaces ⋮ Isometric equivalence of directions in Riemannian symmetric spaces ⋮ Maxwell equations and direction of electromagnetic field ⋮ Canonical representation of tangent vectors of Grassmannians ⋮ On the number of flats tangent to convex hypersurfaces in random position

Cites Work

• Exterior algebra and projection of polytopes
• Zur Riemannschen Geometrie in Grassmannschen Mannigfaltigkeiten
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