Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Tensor |
| gptkbp:appearsIn |
gptkb:Schur's_lemma
gptkb:Bianchi_identities gptkb:Ricci_flow |
| gptkbp:component |
gptkb:Einstein_tensor
|
| gptkbp:contractionOf |
gptkb:Riemann_curvature_tensor
|
| gptkbp:definedIn |
gptkb:Riemannian_manifold
|
| gptkbp:derivedFrom |
gptkb:Riemann_curvature_tensor
|
| gptkbp:describes |
volume distortion under geodesic flow
|
| gptkbp:dimensions |
n x n (for n-dimensional manifold)
|
| gptkbp:field |
gptkb:general_relativity
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Ricci tensor
|
| gptkbp:namedAfter |
gptkb:Gregorio_Ricci-Curbastro
|
| gptkbp:notation |
gptkb:Ric
R_{ab} |
| gptkbp:rank |
2
|
| gptkbp:relatedTo |
gptkb:Weyl_tensor
scalar curvature |
| gptkbp:symmetry |
true
|
| gptkbp:type |
(0,2) tensor
|
| gptkbp:usedFor |
characterizing Einstein manifolds
studying curvature properties of manifolds studying gravitational fields |
| gptkbp:usedIn |
gptkb:Einstein_field_equations
|
| gptkbp:bfsParent |
gptkb:Einstein_tensor
|
| gptkbp:bfsLayer |
4
|