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tehno
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Find a general equation of geodesics on cylinder's surface.
What's the name of these curves?
What's the name of these curves?
quasar987 said:circular helixes?
A general param would be...
[tex]\gamma(t) = (a\cos(ct),a\sin(ct),bt)[/tex]
up to a rigid motion
For a given value of "flat"George Jones said:Yes, because a cylinder is flat!
ObsessiveMathsFreak said:But is it true that all geodesics are isomorphic under an isometry of this kind. If the gaussian curvature between two surface is equal, can we identify geodesics on one surface with those on the other?
But, what about surfaces with non zero curvature?Doodle Bob said:So, I think the answer is, yes (sort of): given a geodesic on one surface, we look at its inverse image in R^2.
ObsessiveMathsFreak said:But, what about surfaces with non zero curvature?
mathwonk said:it is a pretty easy problem since all you have to do is unroll the cylinder to a rectangle.
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