Source: wikibot/riemannian-submersion
= Riemannian submersion
{wiki=Riemannian_submersion}
A **Riemannian submersion** is a specific type of mathematical structure that arises in differential geometry. It involves two Riemannian manifolds and a smooth map between them that preserves certain geometric properties. More formally, let \\( (M, g_M) \\) and \\( (N, g_N) \\) be two Riemannian manifolds, where \\( g_M \\) and \\( g_N \\) are their respective Riemannian metrics.