2016/07/02 by E. Peyghan, Peyghan, E., L. Nourmohammadifar +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons #math.DG
paper · pdf · doi:10.48550/arxiv.1607.03435
20 pages
arxiv created 2016/07/02 · openalex publication_date 2016/07/02 · arxiv updated 2016/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce the notions of pseudo-Riemannian, para-Hermitian and para- Kahler structures on hom-Lie algebras. In addition, we present the characterization of these structures. Also, we provide an example including these structures. We then introduce the phase space of a hom-Lie algebra and using the hom-left symmetric product, we show that a para-Kahler hom-Lie algebra gives a phase space and conversely, we can construct a para-Kahler hom-Lie algebra using a phase space.