Difference between revisions of "LaplaceBeltrami operator"
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Latest revision as of 19:47, 18 May 2008
This is a variation of Laplacian
Definition
The LaplaceBeltrami operator is a secondorder differential operator from the sheaf of functions on a Riemannian manifold (or more generally, a pseudoRiemannian manifold) to itself. The LaplaceBeltrami operator is defined by taking a divergence of a gradient, where both these are defined in terms of the Riemannian or pseudoRiemannian structure:
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