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Existence of geodesics of a group of diffeomorphisms equipped with a Sobolev metric

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Publication:426270
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zbMath1239.58002MaRDI QIDQ426270

Smaïl Djebali, Nadji Hermas

Publication date: 11 June 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

groups of diffeomorphismsCamassa-Holmmanifolds of mappingsRiemannian Lie groupsRiemannian structuressmooth geodesies


Mathematics Subject Classification ID

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)


Related Items

The Degasperis-Procesi equation as a non-metric Euler equation, Local and global well-posedness of the fractional order EPDiff equation on \(\mathbb{R}^d\)



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