Abstract

We study complex product structures on nilpotent Lie algebras, establishing some of their main properties, and then we restrict ourselves to 6 dimensions, obtaining the classification of 6-dimensional nilpotent Lie algebras admitting such structures. A study is made of the torsion-free connection associated to the complex product structure, and we consider also the associated foliations on the corresponding simply connected nilpotent Lie groups.

2000 Mathematics Subject Classification: 17B60; 53C15, 53C30.