# Riemannian manifold

From Encyclopedia of Mathematics

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: http://www.encyclopediaofmath.org/index.php?title=Riemannian_manifold&oldid=11743

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098