Teichmüller space is totally geodesic in Goldman space
Teichmüller space is totally geodesic in Goldman space
We construct a new Riemannian metric on Goldman space B(S), the space of the equivalence classes of convex projective structures on the surface S, and then prove the new metric, as well as the metric of Darvishzadeh and Goldman, restricts to be the Weil-Petersson metric on Teichmüller space, embedded as …