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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:defines
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curvature
torsion
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gptkbp:enables
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parallel transport
covariant differentiation
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gptkbp:field
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differential geometry
mathematical physics
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gptkbp:formedBy
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gptkb:Christoffel_symbols
connection form
covariant derivative
connection 1-form
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gptkbp:generalizes
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directional derivative
ordinary derivative
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gptkbp:hasApplication
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gptkb:algebraic_geometry
gptkb:gauge_theory
gptkb:general_relativity
gptkb:theoretical_physics
gptkb:Kähler_geometry
gptkb:string_theory
gptkb:Yang-Mills_theory
bundle theory
differential topology
symplectic geometry
complex geometry
complex manifolds
spin geometry
holonomy theory
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gptkbp:hasProperty
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linearity
Leibniz rule
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https://www.w3.org/2000/01/rdf-schema#label
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Connection (mathematics)
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gptkbp:notableExample
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gptkb:Weyl_connection
gptkb:Bismut_connection
gptkb:Cartan_connection
gptkb:Chern_connection
Levi-Civita connection
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gptkbp:relatedTo
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gptkb:Cartan_connection
principal bundle
vector bundle
Levi-Civita connection
affine connection
Ehresmann connection
|
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gptkbp:studiedBy
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gptkb:Tullio_Levi-Civita
gptkb:Élie_Cartan
gptkb:Charles_Ehresmann
|
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gptkbp:usedIn
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gptkb:gauge_theory
gptkb:general_relativity
gptkb:Riemannian_geometry
fiber bundle theory
|
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gptkbp:bfsParent
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gptkb:Holonomy
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gptkbp:bfsLayer
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6
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