Classification of integrable complex structures on 6-dimensional product\n Lie algebras

2018/03/07 by Andrzej Czarnecki, Czarnecki, Andrzej
Mathematics · Physics and Astronomy · #17B40 #53C15 #53C30 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1803.02910

openalex publication_date 2018/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify all integrable complex structures on 6-dimensional Lie algebras\nof the form mathfrakg\× mathfrakg.\n

Citations

• Left invariant complex structures on U(2) and SU(2)xSU(2) revisited
• Complex structures on nilpotent Lie algebras

Related

• Complex product structures on 6-dimensional nilpotent Lie algebras
• Complex structures on nilpotent Lie algebras
• Complex structures on tangent and cotangent Lie algebras of dimension six
• Complex Product Structures on Lie Algebras
• The nonisospectral integrable hierarchies associated with Lie algebra \mathfraksp(6)