38 citations · 180 across the 36 of their papers we have counts for
31 papers · 1 filter
On a Class of Generalized Berwald Manifolds
Akbar Tayebi, Faezeh Eslami
The class of generalized Berwald metrics contains the class of Berwald metrics. In this paper, we characterize two-dimensional generalized Berwald -metrics with vanishing S…
On Non-Positively Curved Homogeneous Finsler Metrics
B. Najafi, A. Tayebi
In this paper, we prove two rigidity results for non-positively curved homogeneous Finsler metrics. Our first main result yields an extension of Hu-Deng's well-known result proven…
On Homogeneous Landsberg Surfaces
Akbar Tayebi, Behzad Najafi
In this paper, we prove that every homogeneous Landsberg surface has isotropic flag curvature. Using this special form of the flag curvature, we prove a rigidity result on homogene…
Weighted Projective Ricci Curvature in Finsler Geometry
T. Tabatabaeifar, B. Najafi, A. Tayebi
In this paper, we introduce the weighted projective Ricci curvature as an extension of projective Ricci curvature introduced by Z. Shen. We characterize the class of Randers metric…
Some curvature properties of Cartan spaces with mth root metrics
Akbar Tayebi, Ali Nankali, Esmaeil Peyghan
In this paper, we prove that every m-th root metric with isotropic mean Berwald curvature reduces to a weakly Berwald metric. Then we show that an m-th root metric with isotropic m…
On a class of conformally invariant semi basic vector one forms
Akbar Tayebi, Mansoor Barzegari
In this paper, we define conservative semibasic vector forms on the tangent bundle of a Finsler manifold. Using these vector forms, we characterize conservative Ehresma…