3 papers
math.DG2026
Hermitian Structures on Lie Groups with Two-dimensional Commutator Subgroups
Hamid Reza Salimi Moghaddam
This article studies left-invariant Hermitian structures on Lie groups with two-dimensional commutator subgroups. We provide an explicit classification for two specific types of su…
math.GM2026
On Naturally Reductive -Metrics
Ali Hatami Shahi, Hamid Reza Salimi Moghaddam
In this paper, we investigate the converse of the Tan-Xu theorem, which states that the naturally reductive property of a Riemannian metric is inherited by a naturally reductive $(…
math.DG2026
Riemannian Geometry of Lie Groups with One and Two-Dimensional Commutator Subgroups
Hamid Reza Salimi Moghaddam
In this paper, we investigate left invariant Riemannian metrics on Lie groups with one and two-dimensional commutator subgroups. We explicitly provide the Levi-Civita connection, s…