The Camassa-Holm equation is shown to give rise to a geodesic flow of a certain right invariant metric on the Bott-Virasoro group. The sectional curvature of this metric is computed and shown to assume positive and negative signs.
No takes yet. Share an insight, caveat, or question.
Gerard Misio łek (1998) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: