Curvatures of Sobolev metrics on diffeomorphism groups

DOI10.4310/PAMQ.2013.v9.n2.a2zbMath1287.58007arXiv1109.1816MaRDI QIDQ2637469

Stephen C. Preston, Jonatan Lenells, Gerard Misiołek, Boris A. Khesin

Publication date: 11 February 2014

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1816

zbMATH Keywords

stabilitysectional curvatureRiemannian metricsdiffeomorphism groupsEuler-Arnold equations

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of metrics (especially Riemannian) (58D17)

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