Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:butter
gptkb:Willmore_energy |
| gptkbp:field |
differential geometry
|
| gptkbp:proposedBy |
gptkb:Thomas_Willmore
1965 |
| gptkbp:provenBy |
gptkb:André_Neves
gptkb:Fernando_Codá_Marques 2012 |
| gptkbp:relatedTo |
gptkb:Clifford_torus
minimal surfaces |
| gptkbp:sentence |
The Willmore energy of a torus immersed in 3-dimensional Euclidean space is at least 2π², with equality only for the Clifford torus.
|
| gptkbp:status |
proved
|
| gptkbp:bfsParent |
gptkb:Willmore_energy
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Willmore conjecture
|