Bochner formula

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Riemannian_manifolds
gptkbp:field gptkb:Riemannian_geometry
differential geometry
gptkbp:firstPublished 1946
https://www.w3.org/2000/01/rdf-schema#label Bochner formula
gptkbp:namedAfter gptkb:Salomon_Bochner
gptkbp:relatedTo gptkb:Laplacian
gradient
Ricci curvature
norm of gradient
gptkbp:statedIn Δ(|∇f|^2) = 2⟨∇f, ∇Δf⟩ + 2|Hess f|^2 + 2Ric(∇f, ∇f)
gptkbp:usedIn vanishing theorems
analysis of harmonic functions
study of eigenvalues
gptkbp:bfsParent gptkb:Salomon_Bochner
gptkbp:bfsLayer 5