Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Riemannian_manifolds
systolic geometry filling area conjecture |
| gptkbp:field |
gptkb:geometry
metric geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov's filling theorem
|
| gptkbp:influenced |
systolic inequality
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
|
| gptkbp:publishedIn |
gptkb:Publications_Mathématiques_de_l'IHÉS
|
| gptkbp:relatedTo |
minimal surfaces
isoperimetric inequality |
| gptkbp:sentence |
The filling area of a closed curve in the plane is minimized by the round disk.
|
| gptkbp:yearProposed |
1983
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|