14 citations · 44 across the 12 of their papers we have counts for
11 papers · 1 filter
Classification of Douglas -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 -metrics of Berwald and Douglas type defined by a left invariant Riemannian…
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 admits at least one homogeneous geodesic through any point . The purpose of this article is to study t…
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…
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…
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…
Flag curvature of invariant -metrics of type
H. R. Salimi Moghaddam
In this paper we study flag curvature of invariant -metrics of the form on homogeneous spaces and Lie groups. We give a formula for flag curvature of invar…
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…
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…
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…
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…
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…