Complex structures on nilpotent Lie algebras

Abstract

We classify real 6-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.

Improved section 4, 20 pages, to appear in J Pure Appl Algebra

Cited by in corpus (5)

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• Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
• N=1 geometries for M-theory and type IIA strings with fluxes
• Canonical almost pseudo-Kähler structures on six-dimensional nilpotent Lie groups
• Left-invariant almost para-complex structures on six-dimensional nilpotent Lie groups