Complex manifold
= Complex manifold
{wiki=Complex_manifold}
A complex manifold is a type of manifold that, in addition to being a manifold in the topological sense, has a structure that allows for the use of complex numbers in its local coordinates. More formally, a complex manifold is defined as follows: 1. **Manifold Structure**: A complex manifold \\( M \\) is a topological space that is locally homeomorphic to open subsets of \\( \\mathbb\{C\}^n \\) (for some integer \\( n \\)).