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arXiv · 0806.4793

A bi-Hamiltonian supersymmetric geodesic equation

Jonatan Lenells
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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.

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Jonatan Lenells. 2008-06-29. A bi-Hamiltonian supersymmetric geodesic equation. https://doi.org/10.1007/s11005-008-0257-4

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