|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:definedIn
|
gptkb:Riemannian_manifold
|
|
gptkbp:enables_definition_of
|
gptkb:music
gptkb:region
Angle
curvature
length of curves
|
|
gptkbp:example
|
gptkb:butter
gptkb:geometry
hyperbolic space
|
|
gptkbp:field
|
differential geometry
|
|
gptkbp:generalizes
|
gptkb:Euclidean_space
|
|
gptkbp:hasApplication
|
gptkb:machine_learning
computer vision
engineering
physics
robotics
|
|
gptkbp:hasConcept
|
gptkb:geometry
gptkb:Riemann_curvature_tensor
isometry
holonomy
Levi-Civita connection
Ricci curvature
scalar curvature
sectional curvature
|
|
gptkbp:hasProperty
|
completeness
compactness
connectedness
dimension
differentiability
locally Euclidean
orientability
smoothness
|
|
gptkbp:hasSpecialCase
|
pseudo-Riemannian manifold
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Riemannian manifolds
|
|
gptkbp:namedAfter
|
gptkb:Bernhard_Riemann
|
|
gptkbp:relatedTo
|
gptkb:Finsler_manifolds
gptkb:symplectic_manifolds
metric spaces
complex manifolds
|
|
gptkbp:structure
|
gptkb:Riemannian_manifold
inner product on tangent spaces
|
|
gptkbp:studiedBy
|
gptkb:mathematician
gptkb:Riemannian_geometry
|
|
gptkbp:used_in
|
gptkb:general_relativity
gptkb:topology
global analysis
|
|
gptkbp:bfsParent
|
gptkb:Weyl's_tube_formula
gptkb:Weyl–Schouten_theorem
gptkb:Riemannian_geometry
gptkb:Margulis_lemma
|
|
gptkbp:bfsLayer
|
5
|