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| HAL : hal-00130915, version 1 |
| DOI : 10.1007/s10455-006-9042-8 |
| Fiche détaillée |  Récupérer au format |
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| Annals of Global Analysis and Geometry 31, 2 (2007) pages : 155--180 |
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| On geodesic exponential maps of the Virasoro group |
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| Boris Kolev 1Thomas Kappeler 2 |
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| (04/2007) |
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| We study the geodesic exponential maps corresponding to Sobolev type right-invariant (weak) Riemannian metrics μ(k) (k≥ 0) on the Virasoro group Vir and show that for k≥ 2, but not for k = 0,1, each of them defines a smooth Fréchet chart of the unital element e ∈Vir. In particular, the geodesic exponential map corresponding to the Korteweg–de Vries (KdV) equation (k = 0) is not a local diffeomorphism near the origin. |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| 2 : | Institut für Mathematik |
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Universität Zürich |
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| 3 : | Department of Mathematics [Lund University] |
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Lund University |
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| 4 : | Northeastern University |
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Northeastern University |
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| Domaine | : | Mathématiques/Physique mathématique Physique/Physique mathématique |
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| Geodesic exponential maps – Virasoro group |
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| hal-00130915, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00130915 | |
| oai:hal.archives-ouvertes.fr:hal-00130915 | |
| Contributeur : Boris Kolev | |
| Soumis le : Mercredi 14 Février 2007, 13:44:29 | |
| Dernière modification le : Jeudi 13 Novembre 2008, 17:07:56 | |
