List of things named after Bernhard Riemann

For music and Hugo Riemann, see Neo-Riemannian theory.

The German mathematician Bernhard Riemann (1826–1866) is the eponym of many things.

"Riemann" (by field)

• Riemann bilinear relations
• Riemann conditions
• Riemann form
• Riemann function
• Riemann–Hurwitz formula
• Riemann matrix
• Riemann operator
• Riemann singularity theorem
• Riemann surface
  • Compact Riemann surface
• The tangential Cauchy–Riemann complex
• Zariski–Riemann space

Analysis

• Cauchy–Riemann equations
• Riemann integral
  • Generalized Riemann integral
  • Riemann multiple integral
• Riemann invariant
• Riemann mapping theorem
  • Measurable Riemann mapping theorem
• Riemann problem
• Riemann solver
• Riemann sphere
• Riemann–Hilbert correspondence
• Riemann–Hilbert problem
• Riemann–Lebesgue lemma
• Riemann–Liouville integral
• Riemann–Roch theorem
  • Arithmetic Riemann–Roch theorem
  • Riemann–Roch theorem for smooth manifolds
  • Grothendieck–Hirzebruch–Riemann–Roch theorem
  • Hirzebruch–Riemann–Roch theorem
• Riemann–Stieltjes integral
• Riemann series theorem
• Riemann sum

Number theory

• Riemann–von Mangoldt formula
• Riemann hypothesis
  • Generalized Riemann hypothesis
  • Grand Riemann hypothesis
  • Riemann hypothesis for curves over finite fields
• Riemann theta function
• Riemann Xi function
• Riemann zeta function
• Riemann–Siegel formula
• Riemann–Siegel theta function

Physics

• Free Riemann gas also called primon gas
• Riemann invariant
• Riemann–Cartan geometry
• Riemann–Silberstein vector
• Riemann-Lebovitz formulation
• Riemann curvature tensor also called Riemann tensor
• Riemann tensor (general relativity)

Riemannian

• Pseudo-Riemannian manifold
• Riemannian bundle metric
• Riemannian circle
• Riemannian cobordism
• Riemannian connection
• Riemannian connection on a surface
• Riemannian cubic
• Riemannian cubic polynomials
• Riemannian foliation
• Riemannian geometry
  • Fundamental theorem of Riemannian geometry
• Riemannian graph
• Riemannian group
• Riemannian holonomy
• Riemannian manifold also called Riemannian space
• Riemannian metric tensor
• Riemannian Penrose inequality
• Riemannian polyhedron
• Riemannian singular value decomposition
• Riemannian submanifold
• Riemannian submersion
• Riemannian volume form
• Riemannian wavefield extrapolation
• Sub-Riemannian manifold
• Riemannian symmetric space

Riemann's

• Riemann's differential equation
• Riemann's existence theorem
• Riemann's explicit formula
• Riemann's minimal surface
• Riemann's theorem on removable singularities

Non-mathematical

• Riemann (crater)
• 4167 Riemann