Of one-dimensional complex manifolds, it is the only elliptic one, as it has curvature -1 ["Minus one"].
Of one-dimensional complex manifolds, it is the only elliptic one, as it has curvature -1 ["Minus one"]. A rotation of it is a Möbius transformation. Inversion of the complex plane in the unit circle induces a reflection of it in its equatorial plane. It can be represented as a stereographic projection of the extended complex plane plus infinity, where infinity corresponds with its north pole. For ten points, name this mathematical construct, the simplest form of the surfaces named for the German mathematician who studied them.
Of one-dimensional complex manifolds, it is the only elliptic one, as it has curvature -1 ["Minus one"].
{Riemann Sphere}