Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Kähler manifold
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:contrastsWith |
compact complex manifold
|
| gptkbp:defines |
A complex manifold that is holomorphically convex and admits enough holomorphic functions to separate points and tangent vectors.
|
| gptkbp:dimensions |
complex dimension
|
| gptkbp:example |
affine complex algebraic variety
open subset of complex Euclidean space |
| gptkbp:field |
complex analysis
complex geometry |
| gptkbp:generalizes |
domains of holomorphy
|
| gptkbp:hasProperty |
every closed complex submanifold is Stein
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stein manifold
|
| gptkbp:introducedIn |
1951
|
| gptkbp:namedAfter |
gptkb:Karl_Stein
|
| gptkbp:property |
holomorphic completeness
holomorphic separability holomorphically convex |
| gptkbp:theory |
gptkb:Cartan's_Theorems_A_and_B
gptkb:Remmert's_proper_mapping_theorem |
| gptkbp:usedIn |
gptkb:Oka–Cartan_theory
complex analytic geometry |
| gptkbp:bfsParent |
gptkb:Karl_Stein
|
| gptkbp:bfsLayer |
6
|