Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
Hypersurface
Surface complex_surface mathematical_surface surface_feature surface_lift |
| gptkbp:ambientSpace |
n-dimensional space
|
| gptkbp:defines |
A hypersurface is a generalization of the concept of a surface to higher dimensions.
|
| gptkbp:dimensions |
n-1
|
| gptkbp:example |
A hyperplane in n-dimensional space
A plane in three-dimensional space A sphere in three-dimensional space |
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:hasSubfield |
gptkb:geometry
|
| gptkbp:notablePerson |
gptkb:Jean-Pierre_Serre
gptkb:Élie_Cartan gptkb:Bernhard_Riemann |
| gptkbp:property |
Codimension one
Locally defined by a single equation |
| gptkbp:relatedTo |
gptkb:Manifold
gptkb:Variety Submanifold |
| gptkbp:usedIn |
gptkb:Topology
gptkb:Algebraic_geometry gptkb:Differential_geometry |
| gptkbp:bfsParent |
gptkb:Microsoft
gptkb:SEPTA_Broad_Street_Line gptkb:Sasha_Grey |
| gptkbp:bfsLayer |
4
|