On Hamilton's Characteristic Functions for Reflection
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🧮 math.DG
keywords
characteristicfunctionsgeometryhamiltonorientedreflectionaffinecomplex
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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.
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