Complete left-invariant affine structures on solvable non-unimodular\n three-dimensional Lie groups

2014/10/25 by Mohammed Guediri, Guediri, Mohammed, Kholoud Al-Balawi +1
Mathematics · Physics and Astronomy · #17A30 #17B30 #53C05 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1410.6939

openalex publication_date 2014/10/25 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall use a method based on the theory of extensions of\nleft-symmetric algebras to classify complete left-invariant affine real\nstructures on solvable non-unimodular three-dimensional Lie groups.\n

Citations

• Curvatures of left invariant metrics on lie groups

Related

• Classification of complete left-invariant affine structures on the Oscillator group
• Affine Structures on abelian Lie Groups
• Lie affgebra structures on three-dimensional solvable Lie algebras
• The completeness problem on 3-dimensional non-unimodular Lie groups
• The index of symmetry for a left-invariant metric on a solvable\n three-dimensional Lie group