8 citations · 32 across the 24 of their papers we have counts for
9 papers · 1 filter
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…
Two new families of Finsler connections on even-dimensional manifolds
Hamid Reza Salimi Moghaddam
Let be an even-dimensional pseudo-Finsler manifold. We construct an almost hypercomplex structure on any chart domain of a certain atlas of by using a…
Geodesic Vector fields of invariant -metrics on Homogeneous spaces
Mojtaba Parhizkar, Hamid Reza Salimi Moghaddam
In this paper we show that for an invariant metric on a homogeneous Finsler manifold , induced by an invariant Riemannian metric and an invaria…
Naturally reductive homogeneous -metric spaces
Mojtaba Parhizkar, Hamid Reza Salimi Moghaddam
In the present paper we study naturally reductive homogeneous -metric spaces. Under some conditions, we give some necessary and sufficient conditions for a homogeneous $(α,β…
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 , induces an invariant Finsler metric on quotient group in the natural way, where is a closed no…
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…
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…
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…
Symplectic Connections Induced by the Chern Connection
Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam
Let be a symplectic manifold and be a Finsler structure on . In the present paper we define a lift of the symplectic two-form on the manifold , a…