ON HOMOGENEOUS 2-DIMENSIONAL FINSLER MANIFOLDS WITH ISOTROPIC FLAG CURVATURES.

We show that every Finsler surface with isotropic main scalar and isotropic flag curvature is Riemannian or relatively constant Landsberg metric. Using it, we prove that every homogeneous Finsler surface with isotropic flag curvature and isotropic main scalar is Riemannian or locally Minkowskian. [ABSTRACT FROM AUTHOR]