Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
Smooth manifolds are topological manifolds with smooth structure, and their study is part of differential geometry. The key objects are smooth manifolds and smooth functions between them, and charts used to describe them locally. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].