Geodesic flows on diffeomorphisms of the circle, Grassmannians, and the geometry of the periodic KdV equation

DOI10.4310/ATMP.1999.v3.n4.a6zbMath1003.37044arXivmath-ph/9812002OpenAlexW1804819035MaRDI QIDQ5929518

Andrey N. Todorov, Jorge P. Zubelli, Maria Elena Schonbek

Publication date: 5 April 2001

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9812002

zbMATH Keywords

Teichmüller spaceconformal diffeomorphismconformal diffeomorphismsgeodesic flowHilbert manifoldKdV equationorientation preserving diffeomorphismsperiodic KdV equations

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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