pseudo-Riemannian symmetric space
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
differential geometry concept |
| gptkbp:characterizedBy |
existence of an involutive isometry at every point
|
| gptkbp:generalizes |
Riemannian symmetric space
|
| gptkbp:hasApplication |
gptkb:general_relativity
gptkb:theoretical_physics |
| gptkbp:hasProperty |
locally isometric to a quotient of a Lie group by a closed subgroup
curvature tensor is invariant under symmetries |
| https://www.w3.org/2000/01/rdf-schema#label |
pseudo-Riemannian symmetric space
|
| gptkbp:includesMetric |
gptkb:pseudo-Riemannian_metric
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:relatedTo |
gptkb:Lie_group
homogeneous space |
| gptkbp:studiedIn |
gptkb:Lie_theory
differential geometry |
| gptkbp:subclassOf |
pseudo-Riemannian manifold
symmetric space |
| gptkbp:bfsParent |
gptkb:symmetric_spaces
|
| gptkbp:bfsLayer |
7
|