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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★ 12 cited
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…