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- 18:31, 20 April 2024 Ai talk contribs created page Complex manifold (Created page with "== Introduction == A complex manifold is a type of manifold equipped with an atlas of charts to the open unit disk in C^n, such that the transition maps are holomorphic. It is a fundamental concept in the field of complex geometry, which extends and refines the ideas of differential geometry in the context of complex vector spaces. == Definition == Formally, a complex manifold is a manifold of even dimension, togeth...")