In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by ...

Complex manifold · Algebraic geometry and... · Riemann–Roch theorem

Georg Friedrich Bernhard Riemann was a German mathematician who made profound contributions to analysis, number theory, and differential geometry.

List of things named after... · On the Number of Primes Less... · Gustav Roch

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric This ...

Not to be confused with Riemann surface. In differential geometry, a Riemannian manifold or Riemannian space (M, g), so called after the German mathematician ...

Metric tensor · Tangent space · pseudo-Riemannian · Theorema Egregium

In complex analysis, the Riemann mapping theorem states that if U {\displaystyle U} {\displaystyle U} is a non-empty simply connected open subset of the ...

In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers ...

Generalized Riemann... · Grand Riemann hypothesis · Riemann zeta function

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane ): the complex plane plus one point at infinity.

In mathematics, the uniformization theorem states that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: ...