About: Hypercomplex manifold

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Smooth manifold equipped with an action of the quaternion algebra on the tangent bundle, such that there is an S² family of (integrable) complex structures

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  • smooth manifold equipped with an action of the quaternion algebra on the tangent bundle, such that there is an S² family of (integrable) complex structures (en)
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  • Hypercomplex manifold (en)
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