A shallow water equation as a geodesic f
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Gerard Misiołek
📂
Article
📅
1998
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Elsevier Science
🌐
English
⚖ 317 KB
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.