A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus

DOI10.1007/BF01244316zbMath0806.22012OpenAlexW1975878141MaRDI QIDQ1319234

Tudor S. Ratiu, Anthony M. Bloch, Hermann Flaschka

Publication date: 13 February 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144135

zbMATH Keywords

eigenvaluesarea-preserving diffeomorphismsinfinite-dimensional Lie groupsmeasure-preserving diffeomorphismapproximation of measure-preserving transformationsdivergence-free (Hamiltonian) vector fieldsSchur-Horn-Kostant theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Groups and semigroups of linear operators (47D03) Analysis on real and complex Lie groups (22E30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Ergodic theory (37A99)

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