Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation |
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| Authors: | Martin Bauer Martins Bruveris Philipp Harms Peter W Michor |
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| Institution: | 1.Fakult?t für Mathematik,Universit?t Wien,Wien,Austria;2.Department of Mathematics,Imperial College,London,UK |
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| Abstract: | The Virasoro-Bott group endowed with the right-invariant L
2-metric (which is a weak Riemannian metric) has the KdV-equation as geodesic equation. We prove that this metric space has
vanishing geodesic distance. |
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| Keywords: | |
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