In this paper, we study the well-known unicorn problem for Finsler metrics. First, we prove
that every homogeneous Landsberg surface has isotropic flag curvature. Then by using this …

We classify the almost regular weakly stretch non-Randers-type (α, β)-metrics with vanishing
S-curvature. In the class of regular metrics, they reduce to Berwald ones. Here, we …

In this paper, we prove that every non-Riemannian 4-th root metric of isotropic scalar
curvature has vanishing scalar curvature. Then, we show that every 4-th root metric of …

Let F be a conformally flat exponential (α, β)-metric on a manifold of dimension n≥ 3. In this
paper, we prove that if F is a weakly Einstein metric, then it is either a Riemannian metric or …

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 for …

A survey on unicorns in Finsler geometry Page 1 AUT Journal of Mathematics and Computing
AUT J. Math. Com., 2(2) (2021) 239-250 DOI: 10.22060/ajmc.2021.20412.1065 Review Article …

We study homogeneous isotropic Berwald metrics on a manifold M of dimension n\geqslant
3 n⩾ 3. We prove that such Finsler metrics are either Randers metrics of Berwald type or …

Abstract Let (M 1, F 1) and (M 2, F 2) be two Finsler manifolds, Minkowskian product Finsler
metric is the Finsler metric F= f (S, T) endowed on the product manifold M= M 1× M 2, where …

In this paper, we study weakly stretch Kropina metrics and prove a rigidity theorem. We show
that the associated one-form of a weakly stretch Kropina metric is conformally Killing with …

In this paper, we prove that every compact Finsler metric with positive (or negative) relatively
isotropic mean stretch curvature is a weakly Landsberg metric. Then, we show that weakly …