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arXiv · 0709.0454

Conformal dual of a quadruplet of points

Jun O'Hara
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Abstract

Let $\{P_1, P_2, P_3, P_4\}$ be a quadruplet of points in $S^3$ . We define a ``dual'' quadruplet of it in a conformal geometric way. We show that the dual of a dual quadruplet coincides with the original one. We also show that the cross ratio of the dual quadruplet is equal to the complex conjugate of that of the original one.

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Jun O'Hara. 2007-09-26. Conformal dual of a quadruplet of points. https://arxiv.org/abs/0709.0454

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