Minkowski's convex body theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
convex bodies lattices |
| gptkbp:field |
gptkb:geometry
number theory |
| gptkbp:generalizes |
gptkb:Blichfeldt's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Minkowski's convex body theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Minkowski
|
| gptkbp:publicationYear |
1896
|
| gptkbp:publishedIn |
gptkb:Geometrie_der_Zahlen
|
| gptkbp:relatedTo |
gptkb:geometry_of_numbers
gptkb:Minkowski's_second_theorem gptkb:Minkowski's_first_theorem |
| gptkbp:state |
Any convex, symmetric body in n-dimensional Euclidean space with volume greater than 2^n times the determinant of a lattice contains a nonzero lattice point.
|
| gptkbp:usedIn |
gptkb:geometry_of_numbers
gptkb:Diophantine_approximation lattice point enumeration |
| gptkbp:bfsParent |
gptkb:Minkowski's_theorem
|
| gptkbp:bfsLayer |
6
|