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References
Arnold V.I., First steps in symplectic topology, Russian Math. Surveys 41 (6) (1986), 1–21.
Audin M., Fibres normaux d’immersions en dimension double, points doubles d’immersions lagrangiennes et plongements totalement réels, Comment. Math. Helvetici 63 (1988), 593–623.
Conley C.C., Isolated Invariant Sets and their Morse Index, C.B.M.S. Reg. Conf. Series in Math. 38, American Mathematical Society, Providence, 1978.
Duval J., Convexité rationnelle des surfaces lagrangiennes, Inventories Math. 104 (1991), 581–599.
Duval J., Une contrainte géométrique pour certaines sous-variétés rationnellement convexes, Math. Ann. 289 (1991), 627–629.
Ekeland I. and Hofer H., Symplectic topology and Hamiltonian dynamic, Math. Zeitschrift 200 (1989), 355–378.
Floer A., The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988), 775–813.
Floer A., Morse theory for Lagrangian intersections, Jour. of Diff. Geom. 28 (1988), 513–547.
Floer A., Symplectic fixed points and holomorphic spheres, Commun. Math. Phys. 120 (1988), 575–611.
Gromov M., Pseudo holomorphic curves on almost complex manifolds, Inventiones Math. 82 (1985), 307–347.
Gromov M., Soft and hard symplectic geometry, Proceedings of the International Congress of Mathematicians 1986 1, 81–98.
Herman, M., Inégalités à priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques, Publ. Math. I.H.E.S. 70 (1990), 47–101.
Lalonde F. and Sikorav J.C., Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents, Comment. Math. Helvetici (1991), pp. 18–33.
Polterovich L., The Maslov class of the Lagrange surfaces and Gromov’s pseudoholomorphic curves, Trans. American Math. Soc. 325 (1991), pp. 221–248.
Polterovich L., Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles, Math. Zeitschrift 207 (1991), pp. 217–222.
Viterbo C., A new obstruction to embedding Lagrangian tori, Inventiones Math. 100 (1990), 301–320.
Viterbo C., Plongements lagrangiens et capacités symplectiques de tores dans ℝ2n, Comptes Rendus Acad. Sci. Paris 311 Série I (1990), 487–490.
Viterbo C., Symplectic topology as the geometry of generating functions, Math. Annalen 692 (1992), 685–710.
Viterbo C., Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces, in preparation.
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© 1994 Birkhäuser Verlag
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Viterbo, C. (1994). Properties of Embedded Lagrange Manifolds. In: Joseph, A., Mignot, F., Murat, F., Prum, B., Rentschler, R. (eds) First European Congress of Mathematics Paris, July 6–10, 1992. Progress in Mathematics, vol 120. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9112-7_20
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