Ricci-flat manifolds

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
differential geometry object
gptkbp:definedIn Ricci tensor equals zero
gptkbp:dimensions can be any dimension
gptkbp:example gptkb:K3_surface
Kähler manifold
Einstein manifold
flat torus
gptkbp:hasProperty Ricci curvature tensor vanishes everywhere
https://www.w3.org/2000/01/rdf-schema#label Ricci-flat manifolds
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 6