How do I find the Total Curvature, of a parametrized surface with Gaussian curvature:
-4/((1+u^2+v^2)^4) ?

Question

How do I find the Total Curvature, of a parametrized surface with Gaussian curvature:
-4/((1+u^2+v^2)^4)  ?

anonymous · Answer

It maybe easier to visualise it like this:
$$\int\limits_{0}^{2\pi}\int\limits_{0}^{2\pi} -\frac{ 4 }{ (1+u^2+v^2)^4 }du dv$$

if anyone can help with double integrals, i think that is what the limits would be, and it's definitely the correct formula for Gaussian curvature.

@agent0smith  @dan815 @satellite73  @skullpatrol  @thomaster 

I would really appreciate it if you could take a look? (I may be doing it completely wrong!)
(and sorry for tagging people!)

amistre64 · Answer

i just do not have enough exposure or experience with curvature, much less a gaussian curvature to be of any use with this :/

anonymous · Answer

Okay no problem :-) thanks for giving it a go anyway and taking the time to look!

amistre64 · Answer

and tagging people is fine;  useless at the moment, but fine.  When there are no smartscores showing up the site is pretty much broken

anonymous · Answer

Oh really! I wondered what was going on with that! Okay, thanks for letting me know!

dan815 · Answer

im here u still need help here?

anonymous · Answer

Yes I would love some help please!