Homogeneous Sobolev metric of order one on diffeomorphism groups on real line

DOI10.1007/s00332-014-9204-yzbMath1309.35064arXiv1209.2836OpenAlexW1982028790WikidataQ62597146 ScholiaQ62597146MaRDI QIDQ484456

Peter W. Michor, Martin Bauer, Martins Bruveris

Publication date: 7 January 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2836

zbMATH Keywords

geodesic equationdiffeomorphism group\(R\)-mapSobolev \(H^1\)-metric

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Euler equations (35Q31)

Related Items (15)

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