Gromov–Lawson surgery theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
dimensions greater than or equal to 5 |
| gptkbp:concerns |
manifolds
positive scalar curvature |
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov–Lawson surgery theorem
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
gptkb:H._Blaine_Lawson |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Atiyah–Singer_index_theorem
surgery theory Lichnerowicz theorem |
| gptkbp:state |
If a manifold admits a metric of positive scalar curvature, then so does the manifold obtained by surgery of codimension at least 3.
|
| gptkbp:yearProved |
1980
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|