Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
spin manifolds
|
| gptkbp:describes |
relationship between Dirac operator and Laplacian
|
| gptkbp:expressedIn |
D^2 = ∇^*∇ + (1/4)S
|
| gptkbp:field |
differential geometry
spin geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Lichnerowicz formula
|
| gptkbp:location |
D is the Dirac operator
S is the scalar curvature ∇^*∇ is the connection Laplacian |
| gptkbp:namedAfter |
gptkb:André_Lichnerowicz
|
| gptkbp:publishedIn |
1950s
|
| gptkbp:relatedTo |
gptkb:Laplacian
Dirac operator scalar curvature |
| gptkbp:usedIn |
index theory
study of harmonic spinors |
| gptkbp:bfsParent |
gptkb:André_Lichnerowicz
|
| gptkbp:bfsLayer |
6
|