Hamiltoniens périodiques et images convexes de l'application moment

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1. [A-M] ABRAHAM (R.) and MARSDEN (J.). — Foundations of mechanics, 2ième édition. Reading, Benjamin Cummings, 1978. Zbl0393.70001MR81e:58025
2. [A1] ATIYAH (M.F.). — Convexity and commuting hamiltonians, Bull. London Math. Soc., t. 14, 1982, p. 1-15. Zbl0482.58013MR83e:53037
3. [A2] ATIYAH (M.F.). — Angular momentum, convex polyedra and algebraic geometry, Proc. Edinburgh Math. Soc., t. 26, 1983, p. 121-138. Zbl0521.58026MR85a:58027
4. [A.M.M.] ARMS (J.), MARSDEN (J.) and MONCRIEF (V.). — Symmetry and bifurcation of mommentum mapping, Comm. Math. Phys., t. 78, 1981, p. 455-478. Zbl0486.58008MR82m:58028
5. [Da] DANILOV (V.I.). — The geometry of toric varieties, Russian Math. Surveys, 33.2, 1978, pp. 97-154. — (Uspekhi Mat. Nauk, 33.2, 1978, pp. 85-134). Zbl0425.14013MR80g:14001
6. [De] DELZANT (T.). — Thèse, Paris VI, 1986. 
7. [Du] DUISTERMAAT (J.). — Convexity and tightness for restrictions of hamiltonian functions to fixed point of an antisymplectic involution, Trans. Amer. Math. Soc., t. 275, t. 1, 1983, p. 417-429. Zbl0504.58020MR84c:53035
8. [D-H] DUISTERMAAT (J.) and HECKMAN (G.). — On the variation in the cohomology of the symplectic form of the reduced phase space, Invent. Math., t. 67, 1982, p. 259-268. Zbl0503.58015MR84h:58051a
9. [F] FRANKEL (T.). — Fixed points and torsion on Kaehler manifolds, Ann. of Math., t. 70, 1959, p. 1-8. Zbl0088.38002MR24 #A1730
10. [G-S] GUILLEMIN (V.) and STERNBERG (S.). — Convexity properties of the moment mapping, Invent. Math., t. 67, 1982, p. 491-513. Zbl0503.58017MR83m:58037
11. [Mi] MILNOR (J.). — Morse theory. — Princenton, Ann. of Math. Studies 51, 1968. 
12. [R] REEB (G.). — Sur certaines propriétés topologiques des variétés feuilletées. Paris, Hermann, 1952. Zbl0049.12602MR14,1113a
13. [S] SOURIAU (J.M.). — Structure des systèmes dynamiques. — Paris, Dunod, 1970. Zbl0186.58001MR41 #4866
14. [T] TEISSIER (B.). — Variétés toriques et polytopes, Sém. Bourbaki, exp. n° 565, 1980-1981. Zbl0494.52010
15. [W1] WEINSTEIN (A.). — Lectures on symplectic manifolds, [AMS Reg. Conf. in Math. n° 29], 1977, Symplectic manifolds and their lagrangian submanifolds, Adv. in Math., 6, 1971, pp. 329-346. Zbl0213.48203

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