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

Revised on February 15, 2016 07:35:23 by Urs Schreiber (86.187.48.25)