Riemann surface

noun

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

Meanings

nounRiemann surface (plural Riemann surfaces)

plural Riemann surfaces

  1. mathematicsA one-dimensional complex manifold; a generalization of the complex plane.

Origin

From Bernhard Riemann, German mathematician.

Full word history & related roots →

Translations

Chinese Mandarin 黎曼曲面
  • 黎曼曲面 (Límàn qūmiàn)manifold
Finnish Riemannin pinta
  • Riemannin pintamanifold
French surface de Riemann
  • surface de Riemannmanifold
German riemannsche Fläche
  • riemannsche Flächemanifold
Japanese リーマン面
  • リーマン面 (Rīman-men)manifold
Polish powierzchnia Riemanna
  • powierzchnia Riemannamanifold
Russian Ри́манова пове́рхность, ри́манова пове́рхность
  • Ри́манова пове́рхность (Rímanova povérxnostʹ)manifold
  • ри́манова пове́рхность (rímanova povérxnostʹ)manifold
Swedish Riemannyta
  • Riemannytamanifold
Cite this entry
APA

Riemann surface. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/Riemann%20surface

MLA

“Riemann surface.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Riemann%20surface. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “Riemann surface,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/Riemann%20surface.

Source: Riemann surface on Wiktionary, CC BY-SA 4.0.