Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A smooth function whose critical set is a disjoint union of smooth submanifolds and whose Hessian is non-degenerate in directions normal to the critical submanifolds.
|
| gptkbp:field |
differential topology
|
| gptkbp:generalizes |
Morse functions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Morse–Bott functions
|
| gptkbp:namedAfter |
gptkb:Marston_Morse
gptkb:Raoul_Bott |
| gptkbp:property |
Critical points are replaced by critical submanifolds.
Hessian is non-degenerate in normal directions to critical submanifolds. |
| gptkbp:relatedTo |
Morse functions
|
| gptkbp:usedIn |
gptkb:Floer_homology
gptkb:Morse–Bott_theory symplectic geometry |
| gptkbp:bfsParent |
gptkb:Morse–Bott–Smale_theory
|
| gptkbp:bfsLayer |
7
|