Hypercomplex manifold
Manifold equipped with a quaternionic structure / From Wikipedia, the free encyclopedia
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In differential geometry, a hypercomplex manifold is a manifold with the tangent bundle equipped with an action by the algebra of quaternions in such a way that the quaternions define integrable almost complex structures.
If the almost complex structures are instead not assumed to be integrable, the manifold is called quaternionic, or almost hypercomplex.[1]