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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:characterizedBy
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geodesic symmetry at every point
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gptkbp:class
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gptkb:Cartan_classification
|
|
gptkbp:definedIn
|
invariance under symmetries
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|
gptkbp:example
|
gptkb:Euclidean_space
gptkb:butter
gptkb:geometry
Grassmannian
hyperbolic space
|
|
gptkbp:field
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gptkb:Lie_theory
gptkb:Riemannian_geometry
differential geometry
|
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gptkbp:hasType
|
gptkb:Hermitian_symmetric_space
gptkb:compact_symmetric_space
gptkb:pseudo-Riemannian_symmetric_space
gptkb:symmetric_space_of_rank_one
Riemannian symmetric space
non-compact symmetric space
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|
https://www.w3.org/2000/01/rdf-schema#label
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symmetric spaces
|
|
gptkbp:importantFor
|
gptkb:theoretical_physics
harmonic analysis
number theory
representation theory
|
|
gptkbp:introduced
|
gptkb:Élie_Cartan
|
|
gptkbp:introducedIn
|
1926
|
|
gptkbp:relatedTo
|
gptkb:Riemannian_manifolds
gptkb:Lie_groups
symmetric group actions
|
|
gptkbp:studiedBy
|
gptkb:algebraic_geometry
global analysis
|
|
gptkbp:subclassOf
|
gptkb:homogeneous_spaces
|
|
gptkbp:bfsParent
|
gptkb:Cartan_decomposition
|
|
gptkbp:bfsLayer
|
6
|