PlanetMath: uniformization theorem

(more info)

Math for the people, by the people.

Main Menu

uniformization theorem

(Theorem)

Every simply connected Riemann surface is biholomorphic either to $\mathbb{P}^1$ , $\mathbb{C}$ or the unit disk $\Delta$ .

Anyone with an account can edit this entry. Please help improve it!

"uniformization theorem" is owned by Simone.

(view preamble | get metadata)

Log in to rate this entry.
(view current ratings)

Cross-references: unit disk, biholomorphic, Riemann surface, simply connected
There is 1 reference to this entry.

This is version 2 of uniformization theorem, born on 2006-01-09, modified 2006-01-11.
Object id is 7556, canonical name is UniformizationTheorem.
Accessed 1408 times total.

Classification:

AMS MSC:	30F10 (Functions of a complex variable :: Riemann surfaces :: Compact Riemann surfaces and uniformization)
	30F20 (Functions of a complex variable :: Riemann surfaces :: Classification theory of Riemann surfaces)

Pending Errata and Addenda

None.[ View all 1 ]

Discussion

forum policy

No messages.

Interact