H. R. Salimi Moghaddam

activity

20162022

collaborators

5 papers

math.GM2022

Conformally related invariant $(α, β)$ -metrics on homogeneous spaces

Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

In this paper, we give the flag curvature formula of general $(α, β)$ -metrics of Berwald type. We study conformally related $(α, β)$ -metrics, especially general $(α, β)$ -metrics that…

math.DG2019

Classification of Douglas $(α, β)$ -metrics on five dimensional nilpotent Lie groups

Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

In this paper we classify all simply connected five dimensional nilpotent Lie groups which admit $(α, β)$ -metrics of Berwald and Douglas type defined by a left invariant Riemannian…

math.DG2017

On the Existence of Homogeneous Geodesics in Homogeneous Kropina Spaces

Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

Recently, it is shown that each regular homogeneous Finsler space $M$ admits at least one homogeneous geodesic through any point $o \in M$ . The purpose of this article is to study t…

math.DG2017

Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups

M. Hosseini, H. R. Salimi Moghaddam

In this paper we classify all non-Berwaldian Randers metrics of Douglas type arising from invariant hyper-Hermitian metrics on simply connected four-dimensional real Lie groups. Al…

math.DG2016

Riemannian Geometry of Two Families of Tangent Lie Groups

Hamid Reza Salimi Moghaddam, Farhad Asgari

Using vertical and complete lifts, any left invariant Riemannian metric on a Lie group induces a left invariant Riemannian metric on the tangent Lie group. In the present article w…