For a surface S bounded by a curve C,(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{C} \mathbf{t} \times \mathbf{n}ds = -2\int_{S} H \mathbf{n}da[/tex]

t is the unit tangent to C, and n is the unit normal to the surface S. H is the mean curvature of S. It can be derived from Stokes' theorem, but it seems like the kind of result that might have been known earlier.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Does this theorem have a name?

**Physics Forums | Science Articles, Homework Help, Discussion**