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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:appliesTo
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gptkb:Riemannian_manifold
gptkb:vector_bundle
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gptkbp:canBe
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irreducible
reducible
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gptkbp:class
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gptkb:Berger's_classification
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gptkbp:describes
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how vectors are transformed by parallel transport around closed loops
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gptkbp:example
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gptkb:Sp(n)
gptkb:G2
gptkb:SO(n)
gptkb:SU(n)
gptkb:Spin(7)
U(n)
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gptkbp:field
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differential geometry
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gptkbp:hasSpecialCase
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restricted holonomy group
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gptkbp:importantFor
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gptkb:gauge_theory
gptkb:string_theory
theory of symmetric spaces
theory of special holonomy
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gptkbp:introduced
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gptkb:Élie_Cartan
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gptkbp:relatedTo
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gptkb:connection_(mathematics)
Levi-Civita connection
affine connection
parallel transport
curvature tensor
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gptkbp:usedIn
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study of Kähler manifolds
study of Calabi–Yau manifolds
study of Einstein manifolds
study of Ricci-flat manifolds
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gptkbp:bfsParent
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gptkb:Riemann_curvature_tensor
gptkb:Riemannian_holonomy_group
gptkb:G2_Lie_group
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gptkbp:bfsLayer
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7
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https://www.w3.org/2000/01/rdf-schema#label
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holonomy group
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