H. R. S. Moghaddam

activity

20062026

most citedOn the flag curvature of invariant Randers metrics

8 citations · 32 across the 24 of their papers we have counts for

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24 papers · 1 filter

math.DG2026

Hermitian and Kähler Structures of Two Types on Lie Groups with Two-Dimensional Derived Algebras

Hamid Reza Salimi Moghaddam

We study left-invariant Hermitian structures on Lie groups whose derived algebra is two-dimensional. We consider two natural types of almost Hermitian structures, according to the…

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 $T G$ associated with a Lie group $G$ whose commutator subgroup is two-dimensional, equipped with the lift of a…

math.DG2026

Ricci Solitons of Left-Invariant Metrics on Lie Groups with Derived Algebra of Dimension at Most Two

Hamid Reza Salimi Moghaddam

In this article, we investigate when a left-invariant Riemannian metric on a Lie group is a Ricci soliton, under the assumption that the derived algebra has dimension at most two.…

math.DG2024

New Randers metrics defined by the other Randers metrics

Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

In this short article, using a left-invariant Randers metric $F$ , we define a new left-invariant Randers metric $F ~$ . We show that $F$ is of Berwald (Douglas) type if and on…

math.DG2023

Riemannian geometry of tangent Lie groups using two left invariant Riemannian metrics

Morteza Hassanvand, Hamid Reza Salimi Moghaddam

In this paper, we consider a Lie group $G$ equipped with two left-invariant Riemannian metrics $g^{1}$ and $g^{2}$ . Using these two left-invariant Riemannian metrics we define a left-i…

math.DG2021

Two-step homogeneous geodesics in some homogeneous Finsler manifolds

Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

A natural extension of a homogeneous geodesic in homogeneous Riemannian spaces $G / H$ , known as a two-step homogeneous geodesic, can be expressed of the form $γ(t)=π(\exp(tx)\exp(ty…

math.DG2019

On the classification of five-dimensional nilsolitons

Hamid Reza Salimi Moghaddam

In 2002, using a variational method, Lauret classified five-dimensional nilsolitons. In this work, using the algebraic Ricci soliton equation, we obtain the same classification. We…

math.DG2019

The Relation Between Automorphism Group and Isometry Group of Left Invariant $(α, β)$ -metrics

Masumeh Nejadahmad, Hamid Reza Salimi Moghaddam

This work generalizes the results of an earlier paper by the second author, from Randers metrics to $(α, β)$ -metrics. Let $F$ be an $(α, β)$ -metric which is defined by a left invaria…

math.DG2019

Left invariant lifted $(α, β)$ -metrics of Douglas type on tangent Lie groups

Masumeh Nejadahmad, Hamid Reza Salimi Moghaddam

In this paper we study lifted left invariant $(α, β)$ -metrics of Douglas type on tangent Lie groups. Let $G$ be a Lie group equipped with a left invariant $(α, β)$ -metric of Douglas…

math.DG2018

Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces

Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

In this article, we study Einstein Kropina metrics on Lie groups and homogeneous spaces. We give a method to construct Einstein Kropina metrics on Lie groups. As an example of this…

math.DG2017

Randers Ricci soliton homogeneous nilmanifolds

Hamid Reza Salimi Moghaddam

Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$ , induced by a left invariant Riemannian metric $a^$ and a vector f…

math.DG2016

On the left invariant $(α, β)$ -metrics on some Lie groups

Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

We give the explicit formulas of the flag curvatures of left invariant Matsumoto and Kropina metrics of Berwald type. We can see these formulas are different from previous results…

math.DG2016★ 2 cited

Left Invariant Randers Metrics of Berwald type on Tangent Lie Groups

Farhad Asgari, Hamid Reza Salimi Moghaddam

Let $G$ be a Lie group equipped with a left invariant Randers metric of Berward type $F$ , with underlying left invariant Riemannian metric $g$ . Suppose that $F$ and $\w…

math.DG2014

f-left-invariant Riemannian metrics on Lie groups

Hamid Reza Salimi Moghaddam

With a f-left-invariant Riemannian metric on a Lie group $G$ , we mean a Riemannian metric which is conformally equivalent to a left-invariant Riemannian metric, with the conformal…

math.DG2013★ 2 cited

On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

Hamid Reza Salimi Moghaddam

In this paper we identify all simply connected 3-dimensional real Lie groups which admit Randers or Matsumoto metrics of Berwald type with a certain underlying left invariant Riema…

math.DG2013

Two new families of Finsler connections on even-dimensional manifolds

Hamid Reza Salimi Moghaddam

Let $F^{2 n} = (M, M^{'}, F^{*})$ be an even-dimensional pseudo-Finsler manifold. We construct an almost hypercomplex structure on any chart domain of a certain atlas of $M^{'}$ by using a…

math.DG2013★ 1 cited

Geodesic Vector fields of invariant $(α, β)$ -metrics on Homogeneous spaces

Mojtaba Parhizkar, Hamid Reza Salimi Moghaddam

In this paper we show that for an invariant $(α, β) -$ metric $F$ on a homogeneous Finsler manifold $\frac{G}{H}$ , induced by an invariant Riemannian metric $a ~$ and an invaria…

math.DG2013

Naturally reductive homogeneous $(α, β)$ -metric spaces

Mojtaba Parhizkar, Hamid Reza Salimi Moghaddam

In the present paper we study naturally reductive homogeneous $(α, β)$ -metric spaces. Under some conditions, we give some necessary and sufficient conditions for a homogeneous $(α,β…

math.DG2013★ 6 cited

Induced Invariant Finsler Metrics on Quotient Groups

E. Esrafilian, H. R. Salimi Moghaddam

In this paper we show that every invariant Finsler metric on Lie group $G$ , induces an invariant Finsler metric on quotient group $G / H$ in the natural way, where $H$ is a closed no…

math.DG2013★ 5 cited

On some hypercomplex 4-dimensional Lie groups of constant scalar curvature

H. R. Salimi Moghaddam

In this paper we study sectional curvature of invariant hyper-Hermitian metrics on simply connected 4-dimensional real Lie groups admitting invariant hypercomplex structure. We giv…

math.DG2013★ 7 cited

On the Randers metrics on two-step homogeneous nilmanifolds of dimension five

H. R. Salimi Moghaddam

In this paper we study the geometry of simply connected two-step nilpotent Lie groups of dimension five. We give the Levi-Civita connection, curvature tensor, sectional and scalar…

math.DG2013★ 8 cited

On the flag curvature of invariant Randers metrics

H. R. Salimi Moghaddam

In the present paper, the flag curvature of invariant Randers metrics on homogeneous spaces and Lie groups is studied. We first give an explicit formula for the flag curvature of i…

math.DG2013

Symplectic Connections Induced by the Chern Connection

Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam

Let $(M, ω)$ be a symplectic manifold and $F$ be a Finsler structure on $M$ . In the present paper we define a lift of the symplectic two-form $ω$ on the manifold $T M \0$ , a…

math.DG2006★ 1 cited

The Relation Between the Associate Almost Complex Structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan Connections

Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam

In the present paper, the $(H M^{'}, S, T)$ -Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure…

Hermitian and Kähler Structures of Two Types on Lie Groups with Two-Dimensional Derived Algebras

On the Riemann-Finsler Geometry of Tangent Bundle of Lie Groups with Two-Dimensional Commutator Subgroup

Ricci Solitons of Left-Invariant Metrics on Lie Groups with Derived Algebra of Dimension at Most Two

New Randers metrics defined by the other Randers metrics

Riemannian geometry of tangent Lie groups using two left invariant Riemannian metrics

Two-step homogeneous geodesics in some homogeneous Finsler manifolds

On the classification of five-dimensional nilsolitons

The Relation Between Automorphism Group and Isometry Group of Left Invariant (α,β)-metrics

Left invariant lifted (α,β)-metrics of Douglas type on tangent Lie groups

Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces

Randers Ricci soliton homogeneous nilmanifolds

On the left invariant (α,β)-metrics on some Lie groups

Left Invariant Randers Metrics of Berwald type on Tangent Lie Groups

f-left-invariant Riemannian metrics on Lie groups

On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

Two new families of Finsler connections on even-dimensional manifolds

Geodesic Vector fields of invariant (α,β)-metrics on Homogeneous spaces

Naturally reductive homogeneous (α,β)-metric spaces

Induced Invariant Finsler Metrics on Quotient Groups

On some hypercomplex 4-dimensional Lie groups of constant scalar curvature

On the Randers metrics on two-step homogeneous nilmanifolds of dimension five

On the flag curvature of invariant Randers metrics

Symplectic Connections Induced by the Chern Connection

The Relation Between the Associate Almost Complex Structure to HM′ and (HM′,S,T)-Cartan Connections

The Relation Between Automorphism Group and Isometry Group of Left Invariant $(α, β)$ -metrics

Left invariant lifted $(α, β)$ -metrics of Douglas type on tangent Lie groups

On the left invariant $(α, β)$ -metrics on some Lie groups

Geodesic Vector fields of invariant $(α, β)$ -metrics on Homogeneous spaces

Naturally reductive homogeneous $(α, β)$ -metric spaces

The Relation Between the Associate Almost Complex Structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan Connections