Thank you for let me ask question I am really enjoy with this website. It is great website
I have question about geometry for expert geometry what is the definition of conformal map and the condition? can you please give to me the formula of conformal map. Also is that right that $E=G$ is one of formula for conformal map ? Where this formula comes from ? I need more explain about this part. Thank you very much.

-
What are $E$ and $G$ ? – user18119 Feb 26 '13 at 16:30

$$\begin{bmatrix}a&b\\-b&a\end{bmatrix}$$ where $a$ and $b$ are real numbers, and at least one is nonzero. But there are more conformal transformations than just the linear ones...