On the space of oriented affine lines in R^3

Guilfoyle, B.; Klingenberg, W.

doi:10.1007/s00013-003-4861-3

On the space of oriented affine lines in R^3

Guilfoyle, B.; Klingenberg, W.

Authors

B. Guilfoyle

Dr Wilhelm Klingenberg wilhelm.klingenberg@durham.ac.uk
Associate Professor

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Peer Reviewed	Not Peer Reviewed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