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- #1

- Jan 26, 2012

- 995

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**Problem**: A helicoid in $\mathbb{R}^3$ is parameterized by $(s,t)\mapsto (s\cos t, s\sin t, t)$. Compute the helicoid's:

(a) first fundamental form

(b) second fundamental form

(c) Gaussian curvature

(d) mean curvature

as functions of $s$ and $t$.

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