Source: wikibot/riemannian-circle
= Riemannian circle
{wiki=Riemannian_circle}
A Riemannian circle can be understood as a 1-dimensional Riemannian manifold, which is essentially a circle equipped with a Riemannian metric. The standard way to construct a Riemannian circle is to take the unit circle \\( S^1 \\) in the Euclidean plane, given by the set of points \\((x, y)\\) such that \\( x^2 + y^2 = 1 \\).