Tagged Questions
5
votes
1answer
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Geodesic of a Surface in $\mathbb{R}^3$
I'm not familiar with geodesics. How can I show that a curve $c$ given by
$c(t)=(t,f(t)\cos{\alpha},f(t)\sin{\alpha})$ for $\alpha$ constant is a geodesic on $M$ where
$M=\left\{(x,y,z) \in \Bbb{R}^3 ...
1
vote
1answer
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Point on a surface with no geodesics passing through
Take an orientable surface $S_g^s$ of genus $g$ with no boundaries and $s$ points removed and fix a complete hyperbolic metric of finite area (assuming that the Euler characteristic allows an ...
