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The Laplacian matrix is the representation of a graph in matrix form.

6 votes

On equation $\Delta \circ \partial/\partial X=\partial/\partial X \circ \Delta$ on a Riemann...

Euclidean space with the Euler vector field $X=\sum x^i\partial_{x^i}$, so $D$ is proportional to the Laplacian.) Case 2: $\nabla_{(a}X_{b)}\equiv0$. (That is, $X$ is Killing.) …
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4 votes
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Bochner formula in different forms

Here's a reference to a paper; Theorem 3 gives a general formula for differential forms with no constraints on the boundary values. I'm not sure if this shows up in a book yet. Raulot, S.; Savo, A. …
Jeffrey Case's user avatar
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