differentiable manifold

== English == === Alternative forms === differential manifold === Noun === differentiable manifold (plural differentiable manifolds) (differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝn) to allow one to do calculus;(more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝn-compatible charts). ==== Usage notes ==== Differentiable manifolds are the principal subject of study in differential geometry. ==== Translations ==== === Further reading === Atlas (topology) on Wikipedia.Wikipedia Affine connection on Wikipedia.Wikipedia Riemannian geometry on Wikipedia.Wikipedia