On the geometry of the diffeomorphism group of the circle

DOI10.1007/978-1-4614-1260-1_7zbMath1257.58005OpenAlexW2232837969WikidataQ58869930 ScholiaQ58869930MaRDI QIDQ2914166

Adrian Constantin, Boris Kolev

Publication date: 25 September 2012

Published in: Number Theory, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-1260-1_7

zbMATH Keywords

Euler equationgeodesic flowLie-Poisson structurediffeomorphism group of the circleright-invariant metrics

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25)

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