Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
curved surfaces
|
| gptkbp:countryOfPublication |
gptkb:Latin
|
| gptkbp:field |
differential geometry
|
| gptkbp:formedBy |
gptkb:Carl_Friedrich_Gauss
|
| https://www.w3.org/2000/01/rdf-schema#label |
Theorema Egregium
|
| gptkbp:influenced |
gptkb:general_relativity
gptkb:Riemannian_geometry |
| gptkbp:notableFor |
demonstrating intrinsic properties of surfaces
|
| gptkbp:publicationYear |
1827
|
| gptkbp:publishedIn |
gptkb:Disquisitiones_Generales_Circa_Superficies_Curvas
|
| gptkbp:relatedConcept |
Gaussian curvature
isometry intrinsic geometry surface theory |
| gptkbp:sentence |
Gaussian curvature of a surface is invariant under local isometry
|
| gptkbp:significance |
shows intrinsic curvature is independent of embedding in space
|
| gptkbp:bfsParent |
gptkb:General_Investigations_of_Curved_Surfaces
|
| gptkbp:bfsLayer |
6
|