Riemannian manifold

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A differentiable manifold provided with a Riemannian metric. Essentially, a Riemannian manifold is the same as a Riemannian space.

How to Cite This Entry:
Riemannian manifold. M.I. Voitsekhovskii (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098