Minkowski's existence theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex bodies
|
| gptkbp:field |
gptkb:geometry
convex geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Minkowski's existence theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Minkowski
|
| gptkbp:relatedTo |
gptkb:Minkowski_problem
|
| gptkbp:sentence |
Given a finite Borel measure on the unit sphere in n-dimensional Euclidean space, not concentrated on any great subsphere, there exists a convex body whose surface area measure is the given measure.
|
| gptkbp:usedIn |
gptkb:Brunn–Minkowski_theory
convex polyhedra theory |
| gptkbp:yearProposed |
1897
|
| gptkbp:bfsParent |
gptkb:Minkowski_problem
gptkb:Convex_body |
| gptkbp:bfsLayer |
8
|