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Riemann sphere

In mathematics, the Riemann sphere of complex analysis is a compact Riemann surface, which consists of a complex plane and a point at infinity.

It can be represented by an atlas with two charts, and a transition function z=1/w where w and z are nonzero. Topologically, it is just a sphere.

The Riemann sphere can be conformally mapped onto a euclidian plane by stereographic projection.

See also:

Möbius transformation

Referenced By

Conformal geometry | Conformal group | Conformal space | Hypergeometric function | Hypergeometric series | Inversive geometry | List of complex analysis topics | List of mathematical topics (P-R) | Meromorphic | Meromorphic function | Mobius transformation | Moebius transformation | Möbius transformation | Riemann-Roch theorem | Uniformization theorem

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Riemann sphere".

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