Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
differential geometry object |
| gptkbp:definedIn |
smooth manifold with a non-degenerate, symmetric metric tensor
|
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:generalizes |
gptkb:Riemannian_manifold
|
| gptkbp:hasApplication |
gptkb:theoretical_physics
spacetime modeling |
| gptkbp:hasConnection |
Levi-Civita connection
|
| gptkbp:hasCurvature |
gptkb:Riemann_curvature_tensor
|
| gptkbp:hasMetricTensor |
g (metric tensor)
|
| gptkbp:hasProperty |
locally resembles pseudo-Euclidean space
|
| gptkbp:hasSpecialCase |
gptkb:Riemannian_manifold
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pseudo-Riemannian manifold
|
| gptkbp:includesMetric |
gptkb:pseudo-Riemannian_metric
|
| gptkbp:signature |
indefinite metric signature
|
| gptkbp:studiedIn |
differential geometry
mathematical physics |
| gptkbp:subclassOf |
gptkb:Riemannian_manifold
|
| gptkbp:usedIn |
gptkb:general_relativity
|
| gptkbp:bfsParent |
gptkb:Space-Time
|
| gptkbp:bfsLayer |
7
|