Higher Rank Parabolic Geometries with Essential Automorphisms and Nonvanishing Curvature

We construct infinite families of regular normal Cartan geometries with nonvanishing curvature and essential automorphisms on closed manifolds for many higher rank parabolic model geometries. To do this, we use particular elements the kernel Kostant Laplacian to homogeneous desired type, giving a global realization an elegant local construction due Kruglikov The, then modify these make their base compact. As demonstration, apply quaternionic contact structures mixed signature, among other examples.