Geodesic
Homotopy Classification of Nondegenerate Quasiperiodic Curves on the 2-sphere
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 127 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We classify the curves on $S^2$ with fixed monodromy operator and nowhere vanishing geodesic curvature. The number of connected components of the space of such curves turns out to be 2 or 3 depending on the corresponding monodromy. This allows us to classify completely symplectic leaves of the Zamolodchikov algebra, the next case after the Virasoro algebra in the natural hierarchy of the Poisson structures on the spaces of linear differential equations.
Classification : 53C15 34A20 55R65 
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     author = {B. Z. Shapiro and B. A. Khesin},
     title = {Homotopy {Classification} of {Nondegenerate} {Quasiperiodic} {Curves} on the 2-sphere},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {127 },
     publisher = {mathdoc},
     volume = {_N_S_66},
     number = {80},
     year = {1999},
     language = {en},
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B. Z. Shapiro; B. A. Khesin. Homotopy Classification of Nondegenerate Quasiperiodic Curves on the 2-sphere. Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 127 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a7/