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20112021
most citedOn m-th root Finsler metrics

37 citations · 38 across the 5 of their papers we have counts for

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math.DG2021

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…

math.DG2021

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…

math.DG2019

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…

math.DG2017

On m-th root metrics with special curvature properties

Akbar Tayebi, Behzad Najafi

In this Note, we prove that every m-th root Finsler metric with isotropic Landsberg curvature reduces to a Landsberg metric. Then, we show that every m-th root metric with almost v…

math.DG201737 cited

On m-th root Finsler metrics

Akbar Tayebi, Behzad Najafi

In this paper, we characterize locally dually flat and Antonelli -th root Finsler metrics. Then, we show that every -th root Finsler metric of isotropic mean Berwald curvatur…

math.DG20151 cited

On Projectively Flat Spherically Symmetric Finsler Metrics

Behzad Najafi

The class of spherically symmetric Finsler metrics is studied and locally dually flat and projectively flat spherically symmetric Finsler metrics is classified.