Existence of the Riemannian exponential mapping of a diffeomorphism group applied with a Sobolev metric

DOI10.1016/j.matpur.2009.11.004zbMath1214.58005OpenAlexW2058551943MaRDI QIDQ710550

Nadji Hermas, Smaïl Djebali

Publication date: 19 October 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.11.004

zbMATH Keywords

geodesicsexponential mappinggroup of diffeomorphismsweak Sobolev metric

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)

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