H. R. Salimi Moghaddam

activity

20132022

most citedFlag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

14 citations · 44 across the 12 of their papers we have counts for

collaborators

12 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★ 3 cited

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…

math.DG2013★ 14 cited

Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

E. Esrafilian, H. R. Salimi Moghaddam

In this article we review the recent results about the flag curvature of invariant Randers metrics on homogeneous manifolds and by using a counter example we show that the formula…

math.DG2013★ 8 cited

Flag curvature of invariant $(α, β)$ -metrics of type $\frac{( α + β ) ^{2}}{α}$

H. R. Salimi Moghaddam

In this paper we study flag curvature of invariant $(α, β)$ -metrics of the form $\frac{( α + β ) ^{2}}{α}$ on homogeneous spaces and Lie groups. We give a formula for flag curvature of invar…

math.DG2013

Invariant Matsumoto metrics on homogeneous spaces

H. R. Salimi Moghaddam

In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces then we give the flag curv…

math.DG2013★ 2 cited

On the Geometry of some Para-hypercomplex Lie groups

H. R. Salimi Moghaddam

In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional cu…

math.DG2013★ 4 cited

Randers Metrics of Berwald type on 4-dimensional hypercomplex Lie groups

H. R. Salimi Moghaddam

In the present paper we study Randers metics of Berwald type on simply connected 4-dimensional real Lie groups admitting invariant hypercomplex structure. On these spaces, the Rand…

math.DG2013★ 6 cited

Some Berwald Spaces of Non-positive flag Curvature

H. R. Salimi Moghaddam

In this paper by using left invariant Riemannian metrics on some 3-dimensional Lie groups we construct some complete non-Riemannian Berwald spaces of non-positive flag curvature an…

math.DG2013★ 7 cited

The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups

H. R. Salimi Moghaddam

In this paper we consider simply connected Lie groups equipped with left invariant Randers metrics which arise from left invariant Riemannian metrics and left invariant vector fiel…

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

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

On the Existence of Homogeneous Geodesics in Homogeneous Kropina Spaces

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

Riemannian Geometry of Two Families of Tangent Lie Groups

Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

Flag curvature of invariant (α,β)-metrics of type α(α+β)2​

Invariant Matsumoto metrics on homogeneous spaces

On the Geometry of some Para-hypercomplex Lie groups

Randers Metrics of Berwald type on 4-dimensional hypercomplex Lie groups

Some Berwald Spaces of Non-positive flag Curvature

The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups

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

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

Flag curvature of invariant $(α, β)$ -metrics of type $\frac{( α + β ) ^{2}}{α}$