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Topic: Surface geodesics
Replies: 16   Last Post: Jan 23, 2014 7:01 AM

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Posts: 9
Registered: 1/19/14
Re: Surface geodesics
Posted: Jan 20, 2014 10:53 AM
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Thanks for clarifying what should be obvious to me.

Regarding the 1st example, it's not even a smooth surface (by regular surface I
was taught to understand a minumum of being the set of zeros of some
differentiable function F : R^3 -> R ).

As for the helix tube, I don't think all of its geodesics are plane (by this I
mean contained in a plane). Taking all sections of the tube (by section I mean
intersecting the tube with a plane orthogonal to the tube axis), the highermost
points for each section define a geodesic, presuming I am using the right
concept wisely.

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