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On Hamilton's Characteristic Functions for Reflection

Brendan Guilfoyle·Wilhelm Klingenberg
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Abstract

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

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Brendan Guilfoyle, Wilhelm Klingenberg. 2006-02-01. On Hamilton's Characteristic Functions for Reflection. https://arxiv.org/abs/math/0602017

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