Mathematics · Definition
Smooth manifold
differential geometrytopologymanifolds
Before you start you need to know
Definition
A smooth manifold is a topological manifold equipped with an atlas whose changes of coordinates are smooth functions.
\[\varphi_j\circ\varphi_i^{-1}\in C^{\infty}\]
What comes next
References
- John M. Lee, Introduction to Smooth Manifolds, 2nd edition, Springer, 2013.