Riemann mapping theorem
Teorema de representación conforme de Riemann
- Date
- 1851 · confidence medium
- Place
- Göttingen, Germany
- Credited to
- Bernhard Riemann
- Field
- Knowledge & symbols
What was discovered
Complex analysis theorem stating that every non-empty simply connected open subset of the complex plane, other than the whole plane, can be biholomorphically mapped onto the unit disk; stated by Bernhard Riemann in his doctoral dissertation and rigorously proved decades later.
What it led to
- Theory of Riemann surfaces
- Development of conformal geometry
- Applications in mathematical cartography and theoretical physics