Research Article
Year 2024,
Early Access, 1 - 24
Abstract
References
- [1] A. Borowiec, M. Ferraris, M. Francaviglia and I. Volovich, Almost-complex and almost-product Einstein manifolds from a variational principle, J. Math. Phys. 40 (7), 3446–3464, 1999.
Year 2024,
Early Access, 1 - 24
Abstract
The aim of this paper is to describe two geometric notions, holomorphic Norden structures and K\"{a}hler-Norden structures on Hom-Lie groups, and study their relationships in the left invariant setting. We study K\"{a}hler-Norden structures with abelian complex structures and give the curvature properties of holomorphic Norden structures on Hom-Lie groups. Finally, we show that any left-invariant holomorphic Hom-Lie group is a flat (holomorphic Norden Hom-Lie algebra carries a Hom-Left-symmetric algebra) if its left-invariant complex structure (complex structure) is abelian.
References
- [1] A. Borowiec, M. Ferraris, M. Francaviglia and I. Volovich, Almost-complex and almost-product Einstein manifolds from a variational principle, J. Math. Phys. 40 (7), 3446–3464, 1999.
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebraic and Differential Geometry |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | April 14, 2024 |
| Publication Date | |
| Published in Issue | Year 2024 Early Access |