Holonomy

URI: https://gptkb.org/entity/Holonomy

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:describes	Transformation of vectors along closed loops
gptkbp:field	gptkb:Differential_geometry
gptkbp:hasType	gptkb:Restricted_holonomy Full holonomy
https://www.w3.org/2000/01/rdf-schema#label	Holonomy
gptkbp:importantFor	gptkb:Theory_of_connections_on_fiber_bundles gptkb:string_theory gptkb:General_relativity
gptkbp:includesGroup	gptkb:Holonomy_group
gptkbp:introduced	gptkb:Élie_Cartan
gptkbp:relatedTo	gptkb:Berger's_classification gptkb:Ambrose–Singer_theorem gptkb:Connection_(mathematics) gptkb:Holonomy_algebra gptkb:Holonomy_principle gptkb:Parallel_transport Levi-Civita connection Curvature
gptkbp:studiedIn	gptkb:gauge_theory gptkb:Riemannian_geometry
gptkbp:bfsParent	gptkb:Berry_phase
gptkbp:bfsLayer	5