English

On Hamilton's Characteristic Functions for Reflection

Differential Geometry 2007-05-23 v1

Abstract

We review the complex differential geometry of the space of oriented affine lines in R3{\Bbb{R}}^3 and give a description of Hamilton's characteristic functions for reflection in an oriented C1^1 surface in terms of this geometry.

Keywords

Cite

@article{arxiv.math/0602017,
  title  = {On Hamilton's Characteristic Functions for Reflection},
  author = {Brendan Guilfoyle and Wilhelm Klingenberg},
  journal= {arXiv preprint arXiv:math/0602017},
  year   = {2007}
}

Comments

10 pages AMS-LATEX, 3 figures