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gptkbp:instanceOf
|
gptkb:branch_of_differential_geometry
|
|
gptkbp:appliesTo
|
gptkb:general_relativity
|
|
gptkbp:concerns
|
smooth manifolds with Riemannian metric
|
|
gptkbp:developedBy
|
gptkb:Bernhard_Riemann
|
|
gptkbp:introducedIn
|
gptkb:19th_century
|
|
gptkbp:namedAfter
|
gptkb:Bernhard_Riemann
|
|
gptkbp:relatedTo
|
differential geometry
global analysis
metric geometry
|
|
gptkbp:studies
|
gptkb:music
gptkb:region
gptkb:Riemannian_manifolds
gptkb:spectral_geometry
gptkb:Riemann_curvature_tensor
gptkb:Gauss-Bonnet_theorem
gptkb:Hopf-Rinow_theorem
gptkb:Laplace-Beltrami_operator
gptkb:Myers'_theorem
gptkb:symmetric_spaces
gptkb:Bonnet-Myers_theorem
gptkb:Cartan-Hadamard_theorem
gptkb:scalar_curvature
gptkb:Alexandrov_spaces
gptkb:Einstein_manifolds
gptkb:Gromov-Hausdorff_convergence
gptkb:Riemannian_covering_spaces
gptkb:Riemannian_foliations
gptkb:Riemannian_submersions
gptkb:Riemannian_symmetric_spaces
gptkb:harmonic_maps
geodesics
holonomy
minimal surfaces
Levi-Civita connection
Ricci curvature
curvature
isometries
parallel transport
sectional curvature
comparison geometry
comparison theorems
Riemannian embeddings
Riemannian group actions
Riemannian immersions
Riemannian orbifolds
Riemannian submanifolds
manifolds of constant curvature
|
|
gptkbp:uses
|
gptkb:Riemannian_manifold
|
|
gptkbp:bfsParent
|
gptkb:Manfredo_do_Carmo
gptkb:Graduate_Studies_in_Mathematics
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Riemannian Geometry
|