Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
differential operator |
| gptkbp:actsOn |
differential forms
complex manifolds |
| gptkbp:defines |
The Dolbeault operator is the operator ∂̄ acting on (p,q)-forms on a complex manifold.
|
| gptkbp:field |
gptkb:mathematics
differential geometry complex geometry |
| gptkbp:generalizes |
gptkb:Cauchy–Riemann_operator
|
| gptkbp:hasComponent |
∂̄ (del-bar)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dolbeault operator
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Pierre_Dolbeault
|
| gptkbp:partOf |
gptkb:Dolbeault_complex
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:Cauchy–Riemann_equations gptkb:Dolbeault_cohomology de Rham operator |
| gptkbp:symbol |
∂̄
|
| gptkbp:usedFor |
studying complex structures
defining Dolbeault cohomology groups |
| gptkbp:bfsParent |
gptkb:Dolbeault_cohomology
gptkb:Jean_Dolbeault |
| gptkbp:bfsLayer |
6
|