8 papers
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 , we define a new left-invariant Randers metric . We show that is of Berwald (Douglas) type if and on…
Conformally related invariant -metrics on homogeneous spaces
Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam
In this paper, we give the flag curvature formula of general -metrics of Berwald type. We study conformally related -metrics, especially general -metrics that…
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 , known as a two-step homogeneous geodesic, can be expressed of the form $γ(t)=π(\exp(tx)\exp(ty…
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…
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…
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…