Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
|
| gptkbp:focusesOn |
distance function
injectivity radius volume comparison completeness of manifolds global invariants metric structure |
| gptkbp:hasSubfield |
gptkb:Riemannian_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
global Riemannian geometry
|
| gptkbp:relatedTo |
gptkb:Bonnet–Myers_theorem
gptkb:Cartan–Hadamard_theorem gptkb:Hopf–Rinow_theorem differential geometry global analysis comparison theorems |
| gptkbp:studies |
geodesics
topology of manifolds curvature global properties of Riemannian manifolds |
| gptkbp:usedIn |
gptkb:general_relativity
mathematical physics |
| gptkbp:bfsParent |
gptkb:Hadamard_manifold
gptkb:Alexandrov_space gptkb:Aleksandrov_geometry |
| gptkbp:bfsLayer |
6
|