Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:alsoKnownAs |
gptkb:Loewner's_inequality
|
| gptkbp:appliesTo |
gptkb:2-dimensional_torus
|
| gptkbp:equalityCase |
flat torus with hexagonal lattice
|
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Loewner's torus inequality
|
| gptkbp:namedAfter |
gptkb:Charles_Loewner
|
| gptkbp:relatedTo |
systolic geometry
|
| gptkbp:state |
For any Riemannian metric on the 2-torus, the square of the systole is less than or equal to (2/√3) times the area.
|
| gptkbp:yearProposed |
1949
|
| gptkbp:bfsParent |
gptkb:Charles_Loewner
|
| gptkbp:bfsLayer |
6
|