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20132022
most citedFlag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

14 citations · 44 across the 12 of their papers we have counts for

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math.DG2013★ 14 cited

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…

math.DG2013★ 8 cited

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…

math.DG2013

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…

math.DG2013★ 2 cited

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…

math.DG2013★ 4 cited

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…

math.DG2013★ 6 cited

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…

math.DG2013★ 7 cited

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…