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




Re: Surface geodesics
Posted:
Jan 20, 2014 10:53 AM


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.



