Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with laplacian
Search options answers only
not deleted
user 20052
The Laplacian matrix is the representation of a graph in matrix form.
7
votes
Spectra of the Laplacian operator on the spherical space-form
In addition of what you mentioned, the multiplicity of $k(k+2)$ in the Laplace spectrum of $S^3$ is given by $\dim H_k$, where $H_k$ is the space of harmonic homogeneous complex-valued polynomials of …
- 2,446
7
votes
Explicit eigenvalues of the Laplacian
Generalizing the case of flat tori, one can compute explicitely the spectrum of many compact flat manifolds. See for instance
spectrum on $p$-forms Miatello and Rossetti or the survey on isospectra …
- 2,446
1
vote
Spectrum of the Laplacian on the quotient of $3$-sphere
Any such eigenvalue must be in $\{m^2+2m-2:m\geq2\}$.
Moreover, $\lambda=m^2+2m-2$ for some $m\geq2$ is an eigenvalue if and only if there is a $\Gamma$-invariant symmetric $2$-tensor on $S^3$ such t …
- 2,446
1
vote
First eigenvalue of the Laplacian on the traceless-transverse 2-forms
Let $\lambda_1(M)$ denote the smallest eigenvalue of the Lichnerowicz Laplacian $\Delta_L$ on $M$. … (Since $\Delta_L h=\Delta h-6h$ for spherical space forms, where $\Delta$ is the Rough Laplacian, then it is equivalent to work with any of them). …
- 2,446