# hypercomplex manifold

> 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

**Wikidata**: [Q5957904](https://www.wikidata.org/wiki/Q5957904)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Hypercomplex_manifold)  
**Source**: https://4ort.xyz/entity/hypercomplex-manifold