Hamiltoniens périodiques et images convexes de l'application moment
Delzant, Thomas
Bulletin de la Société Mathématique de France, Tome 116 (1988), p. 315-339 / Harvested from Numdam
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@article{BSMF_1988__116_3_315_0,
     author = {Delzant, Thomas},
     title = {Hamiltoniens p\'eriodiques et images convexes de l'application moment},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {116},
     year = {1988},
     pages = {315-339},
     doi = {10.24033/bsmf.2100},
     mrnumber = {90b:58069},
     zbl = {0676.58029},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/BSMF_1988__116_3_315_0}
}

Delzant, Thomas. Hamiltoniens périodiques et images convexes de l'application moment. Bulletin de la Société Mathématique de France, Tome 116 (1988) pp. 315-339. doi : 10.24033/bsmf.2100. http://gdmltest.u-ga.fr/item/BSMF_1988__116_3_315_0/

[A-M] Abraham (R.) and Marsden (J.). - Foundations of mechanics, 2ième édition. Reading, Benjamin Cummings, 1978. | MR 81e:58025 | Zbl 0393.70001

[A1] Atiyah (M.F.). - Convexity and commuting hamiltonians, Bull. London Math. Soc., t. 14, 1982, p. 1-15. | MR 83e:53037 | Zbl 0482.58013

[A2] Atiyah (M.F.). - Angular momentum, convex polyedra and algebraic geometry, Proc. Edinburgh Math. Soc., t. 26, 1983, p. 121-138. | MR 85a:58027 | Zbl 0521.58026

[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. | MR 82m:58028 | Zbl 0486.58008

[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). | MR 80g:14001 | Zbl 0425.14013

[De] Delzant (T.). - Thèse, Paris VI, 1986.

[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. | MR 84c:53035 | Zbl 0504.58020

[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. | MR 84h:58051a | Zbl 0503.58015

[F] Frankel (T.). - Fixed points and torsion on Kaehler manifolds, Ann. of Math., t. 70, 1959, p. 1-8. | MR 24 #A1730 | Zbl 0088.38002

[G-S] Guillemin (V.) and Sternberg (S.). - Convexity properties of the moment mapping, Invent. Math., t. 67, 1982, p. 491-513. | MR 83m:58037 | Zbl 0503.58017

[Mi] Milnor (J.). - Morse theory. - Princenton, Ann. of Math. Studies 51, 1968.

[R] Reeb (G.). - Sur certaines propriétés topologiques des variétés feuilletées. Paris, Hermann, 1952. | MR 14,1113a | Zbl 0049.12602

[S] Souriau (J.M.). - Structure des systèmes dynamiques. - Paris, Dunod, 1970. | MR 41 #4866 | Zbl 0186.58001

[T] Teissier (B.). - Variétés toriques et polytopes, Sém. Bourbaki, exp. n° 565, 1980-1981. | Numdam | Zbl 0494.52010

[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. | Zbl 0213.48203