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gptkbp:instanceOf
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gptkb:mathematical_concept
gptkb:Riemannian_manifold
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gptkbp:appearsIn
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gptkb:K-theory
gptkb:Plücker_coordinates
gptkb:Plücker_embedding
gptkb:quantum_cohomology
gptkb:vector_bundles
bundle theory
intersection theory
algebraic cycles
enumerative geometry
|
|
gptkbp:compact
|
yes
|
|
gptkbp:connects
|
yes
|
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gptkbp:coordinates
|
gptkb:Plücker_coordinates
|
|
gptkbp:describes
|
space of all k-dimensional linear subspaces of an n-dimensional vector space
|
|
gptkbp:dimensions
|
k(n-k)
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|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:generalizes
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gptkb:geometry
|
|
gptkbp:hasApplication
|
gptkb:machine_learning
gptkb:signal_processing
coding theory
computer vision
physics
statistics
combinatorics
|
|
gptkbp:hasCellDecomposition
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gptkb:Schubert_cells
|
|
gptkbp:hasSpecialCase
|
flag variety
|
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gptkbp:hasSubfield
|
gptkb:algebraic_geometry
differential geometry
linear algebra
|
|
gptkbp:hasTopology
|
quotient topology
|
|
gptkbp:heldBy
|
homogeneous space
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Grassmannian manifold
|
|
gptkbp:includesMetric
|
gptkb:Fubini–Study_metric_(in_complex_case)
canonical metric
|
|
gptkbp:isClassifyingSpaceFor
|
gptkb:vector_bundles
|
|
gptkbp:isQuotientOf
|
gptkb:general_linear_group
|
|
gptkbp:namedAfter
|
gptkb:Hermann_Grassmann
|
|
gptkbp:notation
|
Gr(k, n)
|
|
gptkbp:relatedTo
|
gptkb:Stiefel_manifold
flag manifold
|
|
gptkbp:structure
|
gptkb:algebraic_geometry
Kähler manifold
real manifold
|
|
gptkbp:usedIn
|
gptkb:topology
gptkb:Schubert_calculus
gptkb:moduli_problems
representation theory
|
|
gptkbp:bfsParent
|
gptkb:Schubert_calculus
gptkb:special_orthogonal_group_SO(n)
|
|
gptkbp:bfsLayer
|
6
|