  We classify homogeneous reversible Finsler metrics with positive Flag
curvature. We show that if G/H admits a G invariant reversible Finsler metric
with positive Flag curvature, then up to a few low dimensional spaces, it also
admits a G invariant Riemannian metric with positive sectional curvature. For
the exceptions, we do not know if they admit homogeneous Finsler metrics with
positive Flag curvature.
