Laplace-Beltrami operator ( $Δ_{g}$ )

The Laplace-Beltrami operator is the intrinsic Laplacian determined by a Riemannian metric. In local coordinates it is

Δ_{g} f = ∣ g ∣^{- 1/2} \partial_{i} (∣ g ∣^{1/2} g^{ij} \partial_{j} f) .

 Ancestors (5)