On homogeneous Landsberg surfaces (Q2049427)

The authors' paper exposes three main results related to two-dimensional homogeneous Finsler manifolds. Firstly, the authors prove that any homogeneous Landsberg surface has constant flag curvature. Further, they establish that each homogeneous Landsberg surface is a Riemannian or locally Minkowskian surface. Finally, they show that every homogeneous Finsler surface having non-positive flag curvature and zero \textbf{S}-curvature is also Riemannian or locally Minkowskian.