Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation

Martin Bauer, Martins Bruveris, Philipp Harms +1

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…