Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
smooth manifolds |
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Bochner identity
|
| gptkbp:namedAfter |
gptkb:Salomon_Bochner
|
| gptkbp:relatedTo |
gptkb:Laplacian
Ricci curvature covariant derivative |
| gptkbp:statedIn |
Δ|∇f|^2 = 2⟨∇f, ∇Δf⟩ + 2|Hess f|^2 + 2Ric(∇f, ∇f)
|
| gptkbp:usedIn |
vanishing theorems
analysis of harmonic forms study of eigenvalues of Laplacian |
| gptkbp:bfsParent |
gptkb:Salomon_Bochner
|
| gptkbp:bfsLayer |
5
|