complex geometry

Contents

Idea

The 2-sphere with its canonical structure of a complex manifold is called the Riemann sphere.

As such this is complex projective space $\mathbb{C}P^1$.

Properties

The biholomorphisms, i.e. the bijective conformal transformations from the Riemann sphere to itself are the Möbius transformations.

References

Last revised on February 15, 2016 at 07:35:23. See the history of this page for a list of all contributions to it.