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On the space of oriented affine lines in R^3.

Guilfoyle, B. and Klingenberg, W. (2004) 'On the space of oriented affine lines in R^3.', Archiv der Mathematik., 82 (1). 81 - 84.


We introduce a local coordinate description for the correspondence between the space of oriented affine lines in Euclidean and the tangent bundle to the 2-sphere. These can be utilised to give canonical coordinates on surfaces in, as we illustrate with a number of explicit examples.

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Record Created:27 Apr 2007
Last Modified:08 Apr 2009 16:30

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