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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:appliesTo
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gptkb:general_relativity
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gptkbp:concerns
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curved spaces
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gptkbp:field
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differential geometry
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gptkbp:hasConcept
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gptkb:Gauss–Bonnet_theorem
gptkb:homogeneous_space
gptkb:symmetric_space
gptkb:Hodge_theory
gptkb:Laplace–Beltrami_operator
gptkb:Riemann_curvature_tensor
gptkb:Alexandrov_space
gptkb:Bochner_technique
gptkb:Bonnet–Myers_theorem
gptkb:Cartan–Hadamard_theorem
gptkb:Christoffel_symbols
gptkb:Comparison_geometry
gptkb:Gromov–Hausdorff_convergence
gptkb:Hopf–Rinow_theorem
gptkb:Myers'_theorem
gptkb:Riemannian_Bonnet–Myers_theorem
gptkb:Riemannian_Cartan–Hadamard_theorem
gptkb:Riemannian_Gauss–Bonnet_theorem
gptkb:Riemannian_Hopf–Rinow_theorem
gptkb:Riemannian_Myers'_theorem
gptkb:Riemannian_Synge's_theorem
gptkb:Riemannian_covering_space
gptkb:Riemannian_distance_function
gptkb:Riemannian_embedding
gptkb:Riemannian_exponential_map
gptkb:Riemannian_holonomy_group
gptkb:Riemannian_immersion
gptkb:Riemannian_isometry_group
gptkb:Riemannian_metric_tensor
gptkb:Riemannian_normal_coordinates
gptkb:Riemannian_orbifold
gptkb:Riemannian_product
gptkb:Riemannian_structure
gptkb:Riemannian_submanifold
gptkb:Riemannian_universal_cover
gptkb:Riemannian_volume_measure
gptkb:Synge's_theorem
gptkb:minimal_surface
gptkb:scalar_curvature
exponential map
isometry
holonomy
Comparison theorems
Einstein manifold
Jacobi fields
Levi-Civita connection
Ricci curvature
Riemannian Einstein metric
Riemannian Jacobi field
Riemannian Ricci curvature
Riemannian completeness
Riemannian connection
Riemannian covering
Riemannian curvature operator
Riemannian cut locus
Riemannian foliation
Riemannian frame bundle
Riemannian geodesic flow
Riemannian injectivity radius
Riemannian parallelism
Riemannian scalar curvature
Riemannian sectional curvature
Riemannian submersion
Riemannian symmetric space
cut locus
harmonic map
injectivity radius
parallel transport
sectional curvature
volume form
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gptkbp:namedAfter
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gptkb:Bernhard_Riemann
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gptkbp:relatedTo
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gptkb:Euclidean_geometry
global analysis
metric geometry
pseudo-Riemannian geometry
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gptkbp:studies
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gptkb:music
gptkb:region
gptkb:Riemannian_manifolds
gptkb:Angle
geodesics
topology of manifolds
curvature
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gptkbp:uses
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gptkb:Riemannian_manifold
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gptkbp:bfsParent
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gptkb:Cédric_Villani
gptkb:Weyl_geometry
gptkb:Einstein's_field_equations
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gptkbp:bfsLayer
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5
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https://www.w3.org/2000/01/rdf-schema#label
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Riemannian geometry
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