On the Space of Oriented Affine Lines in $R^3$
Differential Geometry
2021-11-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0405189,
title = {On the Space of Oriented Affine Lines in $R^3$},
author = {Brendan Guilfoyle and Wilhelm Klingenberg},
journal= {arXiv preprint arXiv:math/0405189},
year = {2021}
}
Comments
3 pages, no figures, AMS-Latex