A bi-Hamiltonian Supersymmetric Geodesic Equation
نویسنده
چکیده
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. AMS Subject Classification (2000): 37K10, 17A70.
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