[ˈʁiːman, ˈriːman]

Definitions

1. noun

A German mathematician who made significant contributions to geometry and analysis (1826-1866).

“The mathematician’s work on Riemann surfaces led to major breakthroughs in topology.”

2. proper noun

A surface in mathematics, specifically a two-dimensional surface that is locally Euclidean and has a conformal structure.

“The Riemann surface is used to study complex functions and their singularities.”

3. verb

To relate or describe something in terms of the Riemannian metric.

“The geometer tried to Riemann the surface to better understand its curvature.”

4. adjective

Relating to or characterized by the Riemannian metric or the surfaces it describes.

“The Riemannian geometry is a fundamental concept in modern mathematics.”