Eliashberg's theorem on Stein manifolds
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Stein_manifolds
complex manifolds |
| gptkbp:author |
gptkb:Yakov_Eliashberg
|
| gptkbp:dimensionRestriction |
dimension greater than 2
|
| gptkbp:field |
complex geometry
symplectic topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Eliashberg's theorem on Stein manifolds
|
| gptkbp:namedAfter |
gptkb:Yakov_Eliashberg
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedConcept |
complex structure
handlebody decomposition Stein structure |
| gptkbp:sentence |
A smooth manifold of dimension greater than 2 admits a Stein structure if and only if it admits a handle decomposition with handles of index at most n.
|
| gptkbp:significance |
characterizes topological conditions for existence of Stein structures
|
| gptkbp:yearProved |
1990
|
| gptkbp:bfsParent |
gptkb:Eliashberg_Yakov
|
| gptkbp:bfsLayer |
7
|