Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature (Q415496)

A Randers metric \(F=\alpha +\beta \) is obtained by a Riemannian metric \(\alpha =\sqrt{g_{ij}(x)y^iy^j}\) and a 1-form \(\beta =b_i(x)y^i\) whose length with respect to \(\alpha \) is everywhere less than 1. In this interesting paper the authors give a complete classification of homogeneous Randers spaces with isotropic S-curvature and positive flag curvature. Finally, they prove that a homogeneous Randers space with almost isotropic S-curvature and negative Ricci scalar must be Riemannian.