Geodesic
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus.
Inventiones mathematicae, Tome 113 (1993) no. 2, pp. 511-530.

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Mots-clés : infinite-dimensional Lie groups, approximation of measure-preserving transformations, eigenvalues, area-preserving diffeomorphisms, divergence-free (Hamiltonian) vector fields, Schur-Horn-Kostant theorem, measure-preserving diffeomorphism 
@article{IM_1993__113_2_144135,
     author = {A.M. Bloch and H. Flaschka and T. Ratiu},
     title = {A {Schur-Horn-Kostant} convexity theorem for the diffeomorphism group of the annulus.},
     journal = {Inventiones mathematicae},
     pages = {511--530},
     publisher = {mathdoc},
     volume = {113},
     number = {2},
     year = {1993},
     zbl = {0806.22012},
     url = {http://geodesic.mathdoc.fr/item/IM_1993__113_2_144135/}
}
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A.M. Bloch; H. Flaschka; T. Ratiu. A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus.. Inventiones mathematicae, Tome 113 (1993) no. 2, pp. 511-530. http://geodesic.mathdoc.fr/item/IM_1993__113_2_144135/