Xu–Deng's homogeneous Landsberg conjecture

A Finsler manifold $(M,F)$ is homogeneous if its group of isometries acts transitively on $M$. A Finsler metric is Landsberg if its Landsberg curvature vanishes, and it is Berwald if its Berwald curvature vanishes. Xu–Deng's conjecture. Every homogeneous Landsberg space must be a Berwald space.