English Explanatory Dictionary

Riemannian manifold

English dictionary entry

Meanings

noun
  1. A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product;
  2. A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product; (more formally) an ordered pair (M, g), where M is a real, smooth differentiable manifold and g its Riemannian metric.
  3. an ordered pair (M, g), where M is a real, smooth differentiable manifold and g its Riemannian metric.

Word forms

Riemannian manifold Riemannian manifolds

Etymology

Named after German mathematician Bernhard Riemann (1826–1866). See also Riemannian.

Synonyms

Riemannian space

Related words

differentiable manifold Riemannian metric

Derived words

pseudo-Riemannian manifold semi-Riemannian manifold

Translations

Bulgarian: риманово многообразие French: variété riemannienne German: riemannsche Mannigfaltigkeit German: riemannscher Raum Italian: varietà riemanniana Polish: rozmaitość riemannowska Polish: przestrzeń Riemanna Russian: ри́маново многообра́зие
This entry uses open data from Wiktionary (CC BY-SA/GFDL). Word forms are used for search and are not indexed as separate pages.
Back to search All on R Russian dictionary Dahl dictionary