On Hamilton's Characteristic Functions for Reflection

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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.
10 pages AMS-LATEX, 3 figures

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Differential Geometry, 51M30, 78A05

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http://salesiana.dossiersoluciones.com/handle/123456789/108815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602017
 http://arxiv.org/abs/math/0602017
 Irish Math. Soc. Bulletin 57 (2006) pp29--40.

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arXiv