Riemannian manifold
id:
riemannian-manifold-186-3388023
title:
Riemannian manifold
text:
In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature are defined. Euclidean space, the n
-sphere, hyperbolic space, and smooth surfaces in three-dimensional space, such as ellipsoids and paraboloids, are all examples of Riemannian manifolds. Riemannian manifolds are named after German mathematician Bernhard Riemann, who first conceptualized them. Formally, a Riemannian metric on a smooth manif
brand slug:
wiki
category slug:
encyclopedia
description:
Smooth manifold with an inner product on each tangent space
original url:
https://en.wikipedia.org/wiki/Riemannian_manifold
date created:
2002-11-06T14:37:51Z
date modified:
2024-09-08T00:25:13Z
main entity:
{"identifier":"Q632814","url":"https://www.wikidata.org/entity/Q632814"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/72/Sphere_with_tangent_plane.svg","width":194,"height":210}
fields total:
13
integrity:
16