Novikov's compact leaf theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
3-manifolds
codimension one foliations |
| gptkbp:field |
gptkb:topology
foliation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Novikov's compact leaf theorem
|
| gptkbp:implies |
existence of compact leaves in certain foliations
|
| gptkbp:namedAfter |
gptkb:Sergei_Novikov
|
| gptkbp:publishedIn |
gptkb:Doklady_Akademii_Nauk_SSSR
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:Reeb_foliation |
| gptkbp:sentence |
Every codimension one foliation of the 3-sphere has a compact leaf.
|
| gptkbp:yearProposed |
1965
|
| gptkbp:bfsParent |
gptkb:Pyotr_Novikov
gptkb:Ivan_Novikov |
| gptkbp:bfsLayer |
6
|