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Complex manifold
also called Complex-analytic manifold and has 2 more synonyms

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  1. variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost-complex manifold, as discussed below

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  2. In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  3. Since complex analytic functions are much more rigid than smooth functions, the theories of smooth and complex manifolds have very different flavors: compact complex manifolds are much closer to algebraic varieties than to differentiable manifolds

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  4. An almost complex structure on a real manifold is a GLn(C)-structure (in the sense of G-structures)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
  5. One can define an analogue of a Riemannian metric for complex manifolds, called a Hermitian metric

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 15, 2008
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