Title

On the Space of Oriented Affine Lines in R-3

Authors

Brendan Guilfoyle, School of Science, Technology, Engineering and Mathematics, Institute of Technology, Tralee, Clash, Tralee, Co. Kerry, Ireland.Follow
Wilhelm Klingenberg, Department of Mathematical Sciences, University of Durham

ORCID

0000-0002-7437-5046

Document Type

Article

Disciplines

Mathematics | Physical Sciences and Mathematics

Publication Details

Archiv der Mathematik, 82. © 2004 Springer

Abstract

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

Recommended Citation

Guilfoyle, B., Klingenberg, W. On the space of oriented affine lines in R3 . Arch. Math. 82, 81–84 (2004). https://doi.org/10.1007/s00013-003-4861-3