Hitchin–Thorpe inequality

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo compact oriented 4-manifolds
gptkbp:field differential geometry
https://www.w3.org/2000/01/rdf-schema#label Hitchin–Thorpe inequality
gptkbp:namedAfter gptkb:Nigel_Hitchin
gptkb:John_A._Thorpe
gptkbp:publishedIn gptkb:Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society
gptkbp:relatedTo gptkb:Euler_characteristic
signature
gptkbp:sentence If a compact oriented 4-manifold admits an Einstein metric, then 2χ ≥ 3|τ|, where χ is the Euler characteristic and τ is the signature.
gptkbp:yearProposed 1974
gptkbp:bfsParent gptkb:Nigel_Hitchin
gptkbp:bfsLayer 5