Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\)

DOI10.4310/AJM.2008.v12.n3.a7zbMath1161.58008WikidataQ115206201 ScholiaQ115206201MaRDI QIDQ1002442

Thomas Kappeler, Enrique Loubet, Peter J. Topalov

Publication date: 26 February 2009

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

geodesicexponential mapsdiffeomorphism group of torus

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Spatial asymptotic expansions in the incompressible Euler equation ⋮ On completeness of groups of diffeomorphisms ⋮ Fredholm properties of Riemannian exponential maps on diffeomorphism groups ⋮ Completeness properties of Sobolev metrics on the space of curves ⋮ Regularity of maps between Sobolev spaces ⋮ On the regularity of the composition of diffeomorphisms

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