Morse–Bott theory

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo smooth manifolds
gptkbp:characterizedBy critical submanifolds
gptkbp:dealsWith functions with non-isolated critical points
gptkbp:field differential topology
gptkbp:generalizes gptkb:Morse_theory
https://www.w3.org/2000/01/rdf-schema#label Morse–Bott theory
gptkbp:introduced gptkb:Raoul_Bott
gptkbp:namedAfter gptkb:Raoul_Bott
gptkbp:provides tools for computing homology of manifolds
gptkbp:relatedTo gptkb:Morse_theory
gptkbp:requires non-degenerate Hessian transverse to critical submanifolds
gptkbp:studies critical points of smooth functions
gptkbp:usedIn gptkb:topology
mathematical physics
symplectic geometry
gptkbp:bfsParent gptkb:Marston_Morse_theory
gptkb:Morse_theory
gptkbp:bfsLayer 6