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Results tagged with reference-request
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user 121820
This tag is used if a reference is needed in a paper or textbook on a specific result.
4
votes
Accepted
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. …
- 1,713
6
votes
Accepted
Spectral theory of infinite volume hyperbolic manifolds
In dimension $n$, there are at most finitely many eigenvalues in $[ 0, (n-1)^2/4 )$ and that the continuous spectrum is $[ (n-1)^2/4 , \infty )$ with no embedded eigenvalues. The following survey art …
- 1,713
5
votes
Accepted
Hodge decomposition for non-elliptic complexes
This is false. Equip $T^2 = S^1 \times S^1$ with the Lorentzian metric $g = -ds^2 + dt^2$. For concreteness, regard $S^1 = \mathbb{R} / \mathbb{Z}$. Consider the de Rham complex. The Hodge Laplaci …
- 1,713