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#1

$Old$ December 14th, 2008, 12:11 AM

dori1123 $dori1123 is offline$

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$Default$ differential geometry

Given $\{(u,v) \in R^2|u^2+v^2<1\}$ with $E=G=\frac{4}{(1-u^2-v^2)^2}$ and $F=0$ . How do I show that an euclidean circle with center at the origin is a hyperbolic circle?

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$Old$ June 3rd, 2009, 11:53 AM

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Calculate the Gauss curvature on such a circle.

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