  We study the geometry of the Thurston metric on Teichmuller space by
examining its geodesics and comparing them to Teichmuller geodesics. We show
that, similar to a Teichmuller geodesic, the shadow of a Thurston geodesic to
the curve graph is a reparametrized quasi-geodesic. However, we show that the
set of short curves along the two geodesics are not identical.

Geometric Topology