Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:canBe |
compact
non-compact Euclidean type |
| gptkbp:characterizedBy |
geodesic symmetry at every point
|
| gptkbp:class |
gptkb:Cartan_classification
|
| gptkbp:definedIn |
gptkb:Élie_Cartan
|
| gptkbp:example |
gptkb:Euclidean_space
gptkb:butter gptkb:Grassmannians hyperbolic space projective spaces |
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| gptkbp:heldBy |
gptkb:homogeneous_spaces
manifolds locally symmetric spaces curvature tensor invariant under symmetries invariant Riemannian metric quotients of Lie groups transitive isometry group |
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian symmetric spaces
|
| gptkbp:relatedTo |
gptkb:Lie_groups
gptkb:symmetric_spaces isometry groups |
| gptkbp:studiedBy |
harmonic analysis
representation theory global analysis |
| gptkbp:used_in |
gptkb:general_relativity
gptkb:theoretical_physics gptkb:string_theory |
| gptkbp:bfsParent |
gptkb:Riemannian_Geometry
gptkb:F4_Lie_group |
| gptkbp:bfsLayer |
8
|