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Results tagged with laplacian
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user 297
The Laplacian matrix is the representation of a graph in matrix form.
13
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Accepted
Weyl's law on asymptotic of Laplacian vs Hilbert's theorem on degree of a projective variety
There should be a relationship like this, because the heat function proof of Hirzebruch-Riemmann-Roch uses a much more refined equality between hilbert functions and Laplacian spectra. … This is not the ordinary Laplacian -- it acts on sections of $L^k$ tensored with differential forms rather than acting on differential forms. …
- 156k
5
votes
Can the Laplace operator on $n-$ manifolds be represented as a sum of $n$ second order deriv...
The point of this answer is to flesh out my comment above: Any such $X_i$ must be everywhere linearly independent, so they only exist if the manifold $M$ is parallelizable. Suppose, for the sake of co …
- 156k