compact Spin(7) manifolds

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:citation Joyce, D. (2000). Compact Manifolds with Special Holonomy. Oxford University Press.
Joyce, D. (1996). Compact Riemannian 7-manifolds with holonomy G2. I, II. J. Differential Geom.
gptkbp:dimensions 8
gptkbp:establishedIn 1996
gptkbp:field gptkb:Riemannian_geometry
differential geometry
gptkbp:holonomy_group gptkb:Spin(7)
https://www.w3.org/2000/01/rdf-schema#label compact Spin(7) manifolds
gptkbp:introduced gptkb:Dominic_Joyce
gptkbp:property Ricci-flat
simply connected (in known examples)
gptkbp:relatedTo gptkb:G2_manifolds
gptkb:Calabi–Yau_manifolds
gptkbp:usedIn gptkb:string_theory
gptkb:M-theory
gptkbp:bfsParent gptkb:Spin(7)_manifolds
gptkbp:bfsLayer 7