On the space of oriented affine lines in R^3

Guilfoyle, B.; Klingenberg, W.

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.

Citation

Guilfoyle, B., & Klingenberg, W. (2004). On the space of oriented affine lines in R^3. Archiv der Mathematik, 82(1), 81 - 84. https://doi.org/10.1007/s00013-003-4861-3

• Journal Article Type: Article
• Online Publication Date: Jan 1, 2004
• Publication Date: Jan 1, 2004
• Deposit Date: Apr 27, 2007
• Journal: Archiv der Mathematik
• Print ISSN: 0003-889X
• Electronic ISSN: 1420-8938
• Publisher: Springer
• Peer Reviewed: Not Peer Reviewed
• Volume: 82
• Issue: 1
• Pages: 81 - 84
• DOI: https://doi.org/10.1007/s00013-003-4861-3
• Public URL: https://durham-repository.worktribe.com/output/1591380