Source: wikibot/dianalytic-manifold
= Dianalytic manifold
{wiki=Dianalytic_manifold}
A **differential manifold** is a mathematical structure that generalizes the concept of curves and surfaces to higher dimensions, allowing for the rigorous study of geometrical and analytical properties in a flexible setting. Each manifold is locally resembling Euclidean space, which means that around each point, the manifold can be modeled in terms of open subsets of \\( \\mathbb\{R\}^n \\).