(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is the gaussian curvature at a point on the surface [tex]g(x,y)=xy[/tex]

[tex]\frac{1}{(x^2+y^2+1)^2}?[/tex]

2. Relevant equations

shape operator:

[tex]S(\textbf{x})=-D_\textbf{x}\hat{\textbf{n}}=\frac{\partial (n_x, n_y)}{\partial (x,y)}[/tex]

Gaussian Curvature = [tex]|S(\textbf{x})|[/tex]

[tex]\hat{\textbf{n}}=\frac{\nabla g}{\|\nabla g\|}[/tex]

3. The attempt at a solution

I basically plugged stuff into the above equations. I'm not sure if they're all correct.

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

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!

# Homework Help: Gaussian Curvature

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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