Definition:Topological Manifold/Complex Manifold
< Definition:Topological Manifold(Redirected from Definition:Complex Manifold)
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Definition
Let $M$ be a second-countable, complex locally Euclidean space of dimension $d$.
Let $\mathscr F$ be a complex analytic differentiable structure on $M$.
Then $\struct {M, \mathscr F}$ is called a complex manifold of dimension $d$.