de Rham's theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo smooth manifolds
gptkbp:field gptkb:topology
differential geometry
https://www.w3.org/2000/01/rdf-schema#label de Rham's theorem
gptkbp:importantFor establishes a link between differential and topological invariants
gptkbp:namedAfter gptkb:Georges_de_Rham
gptkbp:relatedTo cohomology
differential forms
gptkbp:state the de Rham cohomology of a smooth manifold is isomorphic to its singular cohomology with real coefficients
gptkbp:usedIn gptkb:topology
gptkb:Hodge_theory
differential geometry
gptkbp:yearProved 1931
gptkbp:bfsParent gptkb:de_Rham_complex
gptkbp:bfsLayer 7