Bernhard Riemann

[mick7]

Ο Bernhard Riemann πέθανε το 1866 σε ηλικία 39 ετών. Ακολουθεί μια λίστα από επιτεύγματα που έχουν πάρει το όνομά του
ταξινομημένα ανάλογα με το πεδίο των μαθηματικών

Analysis (Real & Complex Analysis)

Riemann integral
Generalized Riemann integral
Riemann multiple integral
Riemann–Stieltjes integral
Riemann sum
Riemann series theorem
Riemann–Lebesgue lemma
Riemann–Liouville integral
Riemann mapping theorem
Measurable Riemann mapping theorem
Cauchy–Riemann equations
The tangential Cauchy–Riemann complex
Riemann's theorem on removable singularities
Riemann's differential equation

Complex Analysis & Special Functions

Riemann function
Riemann theta function
Riemann Xi function
Riemann–Siegel formula
Riemann–Siegel theta function

Differential Geometry & Geometric Analysis

Riemann curvature tensor / Riemann tensor
Riemannian manifold (Riemannian space)
Riemannian metric tensor
Riemannian volume form
Riemannian submanifold
Riemannian submersion
Riemannian symmetric space
Riemannian holonomy
Riemannian polyhedron
Sub-Riemannian manifold
Riemann–Cartan geometry
Riemannian Penrose inequality
Riemann's minimal surface

Algebraic Geometry & Complex Geometry

Riemann surface
Compact Riemann surface
Riemann–Hurwitz formula
Riemann–Roch theorem
Arithmetic Riemann–Roch theorem
Riemann–Roch theorem for smooth manifolds
Hirzebruch–Riemann–Roch theorem
Grothendieck–Hirzebruch–Riemann–Roch theorem
Riemann singularity theorem
Riemann matrix
Riemann form
Riemann conditions
Zariski–Riemann space

Number Theory (Analytic Number Theory)

Riemann zeta function
Riemann hypothesis
Generalized Riemann hypothesis
Grand Riemann hypothesis
Riemann hypothesis for curves over finite fields
Riemann–von Mangoldt formula
Riemann's explicit formula

Mathematical Physics & PDEs

Riemann problem
Riemann solver
Riemann invariant
Riemann–Hilbert problem
Riemann–Hilbert correspondence
Riemann–Silberstein vector
Free Riemann gas
Riemannian wavefield extrapolation

Algebra, Topology & Miscellaneous Structures

Riemannian group
Riemannian graph
Riemannian singular value decomposition

Classical Theorems & Foundational Results

Riemann bilinear relations
Riemann's existence theorem