Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
regular surfaces
|
| gptkbp:category |
theorems in geometry
|
| gptkbp:concerns |
curvature of surfaces
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bonnet theorem
|
| gptkbp:namedAfter |
gptkb:Pierre_Ossian_Bonnet
|
| gptkbp:relatedTo |
gptkb:Gauss-Bonnet_theorem
|
| gptkbp:state |
A surface with given first and second fundamental forms is determined up to rigid motion, provided the forms satisfy the Gauss and Codazzi-Mainardi equations.
|
| gptkbp:usedIn |
theory of surfaces
|
| gptkbp:yearProposed |
mid-19th century
|
| gptkbp:bfsParent |
gptkb:Pierre_Ossian_Bonnet
|
| gptkbp:bfsLayer |
7
|