(mathematics) Pertaining to the mathematician Bernhard Riemann.

(mathematics) A one-dimensional complex manifold; a generalization of the complex plane.

(mathematics) A subset of Euclidean space in which tensors are used to describe distance, angle, and curvature

plural of Riemann space

(mathematical analysis) A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.

(topology, complex analysis) The complex numbers extended with the number ∞; the complex plane (representation of the complex numbers as a Euclidean plane) extended with a single idealised point at infinity and consequently homeomorphic to a sphere in 3-dimensional Euclidean space.

plural of Riemann integral

plural of Riemann surface

plural of Riemann sphere

(mathematics, mathematical analysis, number theory) The conjecture that the zeros of the Riemann zeta function exist only at the negative even integers and certain complex numbers whose real part is ½.