Definition of Riemannian geometry in English:

Riemannian geometry

Syllabification: Rie·mann·i·an ge·om·e·try
Pronunciation: /rēˈmänēən, -ˈman-


A form of differential non-Euclidean geometry developed by Riemann, used to describe curved space. It provided Einstein with a mathematical basis for his general theory of relativity.
More example sentences
  • His interests had turned away from affine and projective differential geometry and turned towards Riemannian geometry.
  • The argument relegating Euclidean and hyperbolic geometry to footnotes of Riemannian geometry would be valid only if one were conceiving them as the ‘standard’ geometries over the real numbers.
  • His research on the theory of real algebraic varieties, Riemannian geometry, parabolic and elliptic equations was, however, extremely deep and significant in the development of all these topics.

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