Chern connection

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo complex manifolds
Hermitian vector bundles
gptkbp:field differential geometry
https://www.w3.org/2000/01/rdf-schema#label Chern connection
gptkbp:introduced gptkb:Shiing-Shen_Chern
gptkbp:introducedIn 1940s
gptkbp:isA connection
gptkbp:namedAfter gptkb:Shiing-Shen_Chern
gptkbp:preserves complex structure
Hermitian metric
gptkbp:relatedTo Levi-Civita connection
holomorphic vector bundle
gptkbp:satisfies compatibility with Hermitian metric
compatibility with holomorphic structure
gptkbp:usedIn gptkb:Kähler_geometry
complex differential geometry
theory of characteristic classes
gptkbp:bfsParent gptkb:Shiing-Shen_Chern
gptkb:Bismut_connection
gptkbp:bfsLayer 5