7 papers · 1 filter
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…
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…
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…
On the left invariant -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…