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According to eg Nakahara's conventions the Laplacian on a form K is given by

[tex]

\Delta K = (dd^{\dagger} + d^{\dagger}d)K

[/tex]

In my case K is a two form living in R^3. I've calculated the Laplacian and arrive at

[tex]

\Delta K = \Bigl( \frac{1}{3!}\epsilon^{klm}\epsilon^n_{\ ij}\partial_k \partial_n K_{lm} - \frac{1}{4}\partial_{i}\partial^k K_{jk} \Bigr) dx^i \wedge dx^j

[/tex]

However, the answer seems a little odd to me. Does anyone have a reference where Laplacians of two forms are evaluated, or some comment? Thanks in forward! :)

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# Laplacian of a 2-form

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