Riemannian manifold

English

Etymology

Riemannian + manifold

Noun

Riemannian manifold (plural Riemannian manifolds)

1. 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
• (deprecated template usage) {{trans-mid}}
• Russian: ри́маново многообра́зие n (rímanovo mnogoobrázije)