Source: wikibot/hypercomplex-manifold
= Hypercomplex manifold
{wiki=Hypercomplex_manifold}
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.