Riemannian manifold

English

Etymology

Riemannian + manifold

Noun

Riemannian manifold (plural Riemannian manifolds)

in Riemannian geometry, a real differentiable manifold M in which each tangent space is equipped with an inner product g, a Riemannian metric, in a manner which varies smoothly from point to point.

Hypernyms

smooth manifold

Derived terms

pseudo-Riemannian manifold
semi-Riemannian manifold

Translations

real differentiable manifold

German: riemannsche Mannigfaltigkeit

Russian: ри́маново многообра́зие n (rímanovo mnogoobrázije)

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