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.
β¦ LIBER β¦
On geodesic exponential maps of the Virasoro group
β Scribed by A. Constantin; T. Kappeler; B. Kolev; P. Topalov
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 418 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0232-704X
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