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On The Space Of Oriented Affine Lines In R-3, Brendan Guilfoyle, Wilhelm Klingenberg
On The Space Of Oriented Affine Lines In R-3, Brendan Guilfoyle, Wilhelm Klingenberg
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We introduce a local coordinate description for the correspondence between the space of oriented affine lines in Euclidean R 3 and the tangent bundle to the 2-sphere. These can be utilised to give canonical coordinates on surfaces in R 3 , as we illustrate with a number of explicit examples