Gromov's systolic inequality
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
essential manifold
|
| gptkbp:concerns |
gptkb:systole
gptkb:Riemannian_manifold |
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov's systolic inequality
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
|
| gptkbp:publishedIn |
gptkb:Publications_Mathématiques_de_l'IHÉS
|
| gptkbp:relatedTo |
gptkb:Loewner's_torus_inequality
systolic geometry |
| gptkbp:state |
For any essential n-dimensional Riemannian manifold, the systole is bounded above by a constant times the n-th root of the volume.
|
| gptkbp:yearProposed |
1983
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|