I'm confused how I'm supposed to find the amount of geodesics given only the description of the surface of revolution?
I can parametrise the surface with $x(u,v) = (v\cdot cos(u), v\cdot sin(u), \frac{1}{v^2})$
I'm confused how I'm supposed to find the amount of geodesics given only the description of the surface of revolution?
I can parametrise the surface with $x(u,v) = (v\cdot cos(u), v\cdot sin(u), \frac{1}{v^2})$
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