Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:differential_geometry_object |
| gptkbp:definedIn |
Ricci tensor equals zero
|
| gptkbp:dimensions |
can be any dimension
|
| gptkbp:example |
gptkb:K3_surface
gptkb:Kähler_manifold gptkb:flat_torus Einstein manifold |
| gptkbp:hasProperty |
Ricci curvature tensor vanishes everywhere
|
| gptkbp:importantFor |
gptkb:general_relativity
gptkb:string_theory |
| gptkbp:property |
locally volume-preserving geodesic flow
locally minimizes volume |
| gptkbp:relatedTo |
gptkb:holonomy_group
gptkb:Calabi_conjecture |
| gptkbp:studiedIn |
gptkb:Riemannian_geometry
differential geometry |
| gptkbp:bfsParent |
gptkb:Riemannian_holonomy_group
|
| gptkbp:bfsLayer |
7
|
| http://www.w3.org/2000/01/rdf-schema#label |
Ricci-flat manifolds
|