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A hypercomplex manifold is a specific type of manifold that is equipped with a structure allowing it to have a rich geometric and algebraic framework. More precisely, a hypercomplex manifold is a differentiable manifold \( M \) endowed with an almost complex structure associated with three complex structures \( I, J, K \) that satisfy certain quaternionic relations.

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  1. Structures on manifolds
  2. Algebraic geometry
  3. Fields of mathematics
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