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References
V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1989).
V. I. Arnol'd, Supplementary Chapters to the Theory of Ordinary Differential Equations [in Russian] Nauka, Moscow (1979).
V. I. Arnol'd and A. B. Givental, “Symplectic Geometry,” Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 4, 5–139, Itogi Nauki i Tekhniki, VINITI, Moscow (1985).
A. A. Kirillov, “Local Lie algebras,” Usp. Mat. Nauk,31, No. 4, 57–76 (1976).
A. A. Kirillov, “The orbits of the group of diffeomorphisms of the circle, and local Lie superalgebras,” Funkts. Anal. Prilozhen.,15, No. 2, 75–76 (1981).
A. A. Kirillov, “Invariant operators over geometric quantities,” Contemporary Problems in Mathematics [in Russian], Vol. 16, 3–29, VINITI, Moscow (1980).
V. Yu. Ovsienko and C. Roger, “Deformations of Poisson brackets and extensions of Lie algebra of contact vector fields,” Usp. Mat. Nauk,47, No. 6, 141–194 (1992).
D. Bennequin, “Entrelacements et équations de Pfaff,” Third Schnepfenried Geometry Conference, Vol. 1 (Schnepfenried, 1982), p. 87–161; Asterisque,107–108 (1983).
E. Cartan, “Sur les variétés a connexion projective,” Bull. Soc. Math. France,52, 205–241 (1924).
Ch. Ehresmann, “Sur les espaces localement homogénes,” Enseign. Math.,35, 317–333 (1936).
W. M. Goldman, “Convex real projective structures on compact surfaces,” J. Diff. Geom.,31, 791–845 (1990).
J. Gomez and F. Varela, “Sur certaines expressions globales d'une forme volume,” Lect. Notes in Math., Vol. 1251, Springer-Verlag, Berlin—New York (1987).
J. Gonzalo, “Un modèle global pour quelques formes de contact en dimension trois,” C. R. Acad. Sci. Paris Sér. I,279, 125–128.
J. Gonzalo and F. Varela, “Modéles globaux des variétés de contact,” Asterisque,107–108, 163–168 (1983).
A. A. Kirillov, “Infinite-dimensional Lie groups: their orbits, invariants and representations,” In: Geometry of Moments, Lect. Notes in Math., Vol. 970 (1982), pp. 101–123.
V. Yu. Ovsienko and O. D. Ovsienko, “Projective structures and infinite-dimensional Lie algebras associated with a contact manifold,” Adv. in Soviet Math. (D. B. Fuchs, ed.), to appear.
D. Sullivan and W. Thurston, “Manifolds with canonical coordinate charts: some examples,” Enseign. Math.,29, 15–25 (1983).
S. Tabachnikov, “Projective structures and group Vey cocycle,” Preprint ENS de Lyon (1992).
W. Thurston, “Three-dimensional manifolds, Kleinian groups and hyperbolic geometry,” Bull. Am. Math. Soc.,6, No. 3, 357–381 (1982).
V. Yu. Ovsienko, “Lagrange Schwarzian derivative and symplectic Sturm theory,” Ann. Fac. Sci. Toulouse Math., No. 2, to appear.
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Centre de Physique Théorique CNRS, France. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 3, pp. 47–60, July–September, 1994.
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Ovsienko, V.Y. Projective structures and contact forms. Funct Anal Its Appl 28, 187–197 (1994). https://doi.org/10.1007/BF01078452
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DOI: https://doi.org/10.1007/BF01078452