On Hamilton’s Characteristic Functions for Reflection

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

Irish Mathematical Society Bulletin 57. © 2006 Irish Mathematical Society

Abstract

We review the complex differential geometry of the space of oriented affine lines in R3 and give a description of Hamilton’s characteristic functions for reflection in an oriented C1 surface in terms of this geometry.

Recommended Citation

Guilfoyle, Brendan & Klingenberg, Wilhelm. (2006). On Hamilton's Characteristic Functions for Reflection. Irish Math. Soc. Bulletin. 57. 29-. 10.33232/BIMS.0057.29.40.