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

DOI10.1007/s10455-011-9294-9zbMath1246.58005arXiv1102.0236OpenAlexW2043260746WikidataQ62597168 ScholiaQ62597168MaRDI QIDQ766136

Philipp Harms, Peter W. Michor, Martin Bauer, Martins Bruveris

Publication date: 23 March 2012

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0236

zbMATH Keywords

Virasoro group diffeomorphism group geodesic distance

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Manifolds of mappings (58D15)

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