Conformal dual of a quadruplet of points

Details Conformal dual of a quadruplet of points Conformal dual of a quadruplet of points

2007-09-04

arxiv.org/abs/0709.0454v2

Mathematics

Geometric Topology

This is a second version. A very short section was added at the end, where a cocircular case, which is a special case, was stu

Scientific paper

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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