2 papers
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
On the Riemann-Finsler Geometry of Tangent Bundle of Lie Groups with Two-Dimensional Commutator Subgroup
Ali Hatami Shahi, Hamid Reza Salimi Moghaddam
We begin by studying the Riemannian geometry of the tangent Lie group associated with a Lie group whose commutator subgroup is two-dimensional, equipped with the lift of a…