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gptkbp:instanceOf
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gptkb:academic
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gptkbp:appliesTo
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differential calculus
linear algebra
multilinear algebra
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gptkbp:field
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gptkb:mathematics
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https://www.w3.org/2000/01/rdf-schema#label
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Differential geometry
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gptkbp:notableIdea
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gptkb:Stokes'_theorem
gptkb:Weyl_tensor
gptkb:geometry
gptkb:Berger's_theorem
gptkb:CR_geometry
gptkb:Finsler_geometry
gptkb:Hodge_theory
gptkb:fiber
gptkb:symmetry
gptkb:Frobenius_theorem
gptkb:Riemannian_manifold
gptkb:Schouten_tensor
gptkb:sphere_theorem
gptkb:Riemann_curvature_tensor
gptkb:Lie_group
gptkb:Morse_theory
gptkb:Chern_class
gptkb:Atiyah-Singer_index_theorem
gptkb:Bochner_technique
gptkb:Cartan's_moving_frame
gptkb:Gauss-Bonnet_theorem
gptkb:Hopf_conjecture
gptkb:Hopf_fibration
gptkb:Laplace-Beltrami_operator
gptkb:Weingarten_map
gptkb:Willmore_energy
gptkb:Yamabe_problem
gptkb:Beltrami_operator
gptkb:Bianchi_identity
gptkb:Christoffel_symbol
gptkb:Cotton_tensor
gptkb:projective_connection
gptkb:Cartan's_lemma
gptkb:Cartan_connection
gptkb:Ricci_flow
gptkb:twistor_space
gptkb:de_Rham_cohomology
gptkb:Bonnet-Myers_theorem
gptkb:Jacobi_field
Gaussian curvature
Kähler manifold
Nash embedding theorem
contact geometry
isometry
metric tensor
symplectic manifold
immersion
differential form
embedding
vector bundle
holonomy
homogeneous space
symmetric space
Dirac operator
Einstein manifold
Euler class
G-structure
Killing vector field
Pontryagin class
Ricci curvature
affine connection
conformal map
connection
covariant derivative
curvature
extrinsic curvature
foliation
frame bundle
harmonic map
intrinsic curvature
jet bundle
mean curvature
minimal surface
parallel transport
principal curvature
second fundamental form
sectional curvature
shape operator
spin structure
submanifold
tangent space
torsion
differentiable structure
spinor
tangent bundle
exterior derivative
normal bundle
Perelman's theorem
harmonic form
minimal immersion
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gptkbp:relatedTo
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gptkb:theoretical_physics
gptkb:topology
gptkb:Riemannian_geometry
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gptkbp:studies
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surfaces
manifolds
curves
geometry using calculus
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gptkbp:usedIn
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gptkb:gauge_theory
gptkb:general_relativity
gptkb:string_theory
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gptkbp:bfsParent
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gptkb:geometry
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gptkbp:bfsLayer
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4
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