Curvature computations for a two-component Camassa-Holm equation with vorticity
| Autor: | Kohlmann, Martin |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | In the present paper, a two-component Camassa-Holm (2CH) system with vorticity is studied as a geodesic flow on a suitable Lie group. The paper aims at presenting various details of the geometric formalism and a major result is the computation of the sectional curvature $K$ of the underlying configuration manifold. As a further result, we show that there are directions for which $K$ is strictly positive and bounded away from zero. Comment: 18 pages; submitted |
| Databáze: | arXiv |
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