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I am self teaching some elementary notions of differential geometry. Rather, I should say I am concentrating on mean and gaussian curvature concepts related to a physics application I am interested in. I see one has to evaluate an integral that goes as:

[tex]\int_{\partial\Omega}\kappa\hat{n}\cdot d\vec{r}[/tex]

-where [tex]\hat{n}[/tex] denotes the unit normal vector to the surface [tex]\partial\Omega[/tex]. The integral is done over all the points [tex]\vec{r}[/tex] on the surface. Can anyone tell if there is a prescription to evaluate such integrals as this? If some reference is cited, that will also be helpful.

-Neel

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# Integral of mean curvature function

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