Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Riemannian_manifolds
non-positive sectional curvature |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan–Hadamard conjecture
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
gptkb:Élie_Cartan |
| gptkbp:provenBy |
dimensions 2 and 4
|
| gptkbp:relatedTo |
isoperimetric inequality
|
| gptkbp:state |
Euclidean isoperimetric inequality holds for simply connected, complete Riemannian manifolds of non-positive sectional curvature
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:Riemannian_Cartan–Hadamard_theorem
|
| gptkbp:bfsLayer |
6
|