Alexandrov's soap bubble theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
closed embedded surfaces |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Alexandrov's soap bubble theorem
|
| gptkbp:implies |
soap bubbles are spherical in shape
|
| gptkbp:methodOfProof |
method of moving planes
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Danilovich_Alexandrov
|
| gptkbp:relatedTo |
minimal surfaces
isoperimetric problem constant mean curvature |
| gptkbp:sentence |
The only closed embedded surfaces in Euclidean space with constant mean curvature are spheres.
|
| gptkbp:yearProposed |
1958
|
| gptkbp:bfsParent |
gptkb:Serrin's_theorem
|
| gptkbp:bfsLayer |
8
|