  A minimal geodesic on a Riemannian manifold is a geodesic defined on
$\mathbb{R}$ that lifts to a globally distance minimizing curve on the
universal covering. Bangert proved that there is a lower bound for the number
of geometrically distinct minimal geodesics of closed Riemannian manifolds that
is linear in the first Betti number, using the stable norm unit ball on the
first homology. We refine this method to obtain a quadratic lower bound.
