6-dimensional product Lie algebras admitting integrable complex structures

Abstract

We classify the 6-dimensional Lie algebras of the form $g\times g$ that admit integrable complex structure. We also endow a Lie algebra of the kind $o(n)\oplus o(n)$ with such a complex structure. The motivation comes from geometric structures á la Sasaki on $g$-manifolds.

Minor corrections and changes in typesetting

References in corpus (1)

• On normality of f.pk-structures on g-manifolds

Cited by in corpus (3)

• Invariant and non-invariant almost complex structures on compact quotients of Lie groups
• Classification of integrable complex structures on 6-dimensional product Lie algebras
• The ascending central series of nilpotent Lie algebras with complex structure