2011/02/28 by Martin Bauer, Martins Bruveris, Philipp Harms +1 · 58 citations
Mathematics · Physics and Astronomy · #Convex metric space #Differential geometry #Fisher information metric #Fundamental theorem of Riemannian geometry #Geodesic #Geodesic map #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Invariant (physics) #Korteweg–de Vries equation #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Metric space #Nonlinear Waves and Solitons #Physics #Pure mathematics #Ricci curvature #Riemannian geometry #Solving the geodesic equations #math.AP #math.DG #msc:35Q53 #msc:58B20 #msc:58D05 #msc:58D15 #msc:58E12
paper · pdf · doi:10.1007/s10455-011-9294-9
published in Annals of Global Analysis and Geometry 41(4), 461-472 (Springer Science+Business Media) · 10 pages, 1 figure; typos corrected. Title changed. It agrees with the published version
arxiv created 2011/09/14 · openalex publication_date 2011/09/16 · arxiv updated 2012/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Virasoro-Bott group endowed with the right-invariant L2-metric (which is a weak Riemannian metric) has the KdV-equation as geodesic equation. We prove that this metric space has vanishing geodesic distance.