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A fixed point theorem in symplectic geometry

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Acta Mathematica

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References

  1. Easton, R. & McGehee, R., to appear.

  2. Fong, U. &Meyer, K. R., Algebra of integrals.Revista Columbiana de Matematicas, 9 (1975), 75–90, 1975.

    MathSciNet  MATH  Google Scholar 

  3. Marsden, J. &Weinstein, A., Reduction of symplectic manifolds with symmetry.Rep. Mathematical Physics, 5 (1974), 121–130.

    Article  MathSciNet  MATH  Google Scholar 

  4. McGehee, R. &Meyer, K. R., Homoclinic points of area preserving diffeomorphisms.Amer. J. Math., 96 (1974), 409–421.

    Article  MathSciNet  MATH  Google Scholar 

  5. Meyer, K. R., Symmetries and Integrals in Mechanics.Dynamical Systems (ed. M. Peixoto). Academic Press, 259–272, 1973.

  6. Nikishin, N., Fixed points of diffeomorphisms on the two sphere that preserve area.Funkcional Anal. i Prelozen, 8 (1974), 84–85.

    Article  Google Scholar 

  7. Poincaré, H.,Méthodes nouvelles de la mécanique céleste, vol. 3. Gauthier-Villars, Paris, 1899, Chap. 28.

    Google Scholar 

  8. Simon, C. P., A bound for the fixed point index of an area-preserving map with applications to mechanics,Inventiones Math., 26 (1974), 187–200 and 32 (1976), 101.

    Article  MATH  Google Scholar 

  9. Sternberg, S.,Lectures on Differential Geometry. Prentice-Hall, Englewood Cliffs, N.J., 1964.

    MATH  Google Scholar 

  10. Weinstein, A., Lagrangian submanifolds and hamiltonian systems.Ann. Math. (2), 98 (1973), 377–410.

    Article  MathSciNet  Google Scholar 

  11. —,Lectures on symplectic manifolds. Regional Conference Series in Mathematics, vol. 29., American Math. Soc., Providence, R.I., 1977.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Courant Institute of Matematical Sciences, New York University, New York, U.S.A.

    J. Moser

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  1. J. Moser
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Partially supported by the NSF Grant MCS76-01986.

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Moser, J. A fixed point theorem in symplectic geometry. Acta Math. 141, 17–34 (1978). https://doi.org/10.1007/BF02545741

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  • DOI: https://doi.org/10.1007/BF02545741

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