Source: wikibot/myers-s-theorem
= Myers's theorem
{wiki=Myers's_theorem}
Myers's theorem is a result in Riemannian geometry, which concerns the relationship between the geometry of a complete Riemannian manifold and its topology. Specifically, the theorem states that if \\( M \\) is a complete Riemannian manifold that has non-negative Ricci curvature, then \\( M \\) can be isometrically embedded into a Euclidean space of a certain dimension.