A bi-Hamiltonian supersymmetric geodesic equation
arXiv:0806.4793 · doi:10.1007/s11005-008-0257-4
Abstract
A supersymmetric extension of the Hunter-Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric.
9 pages, no figures