Main Page | See live article | Alphabetical index 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 This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.