Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:topology
differential geometry |
| gptkbp:formedBy |
gptkb:Heinz_Hopf
1931 |
| https://www.w3.org/2000/01/rdf-schema#label |
Hopf conjecture
|
| gptkbp:namedAfter |
gptkb:Heinz_Hopf
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
gptkb:Riemannian_manifold sectional curvature |
| gptkbp:sentence |
The Euler characteristic of a compact even-dimensional Riemannian manifold of positive sectional curvature is positive.
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:Heinz_Hopf
gptkb:Differential_geometry |
| gptkbp:bfsLayer |
5
|