Article PDF
Avoid common mistakes on your manuscript.
References
Easton, R. & McGehee, R., to appear.
Fong, U. &Meyer, K. R., Algebra of integrals.Revista Columbiana de Matematicas, 9 (1975), 75–90, 1975.
Marsden, J. &Weinstein, A., Reduction of symplectic manifolds with symmetry.Rep. Mathematical Physics, 5 (1974), 121–130.
McGehee, R. &Meyer, K. R., Homoclinic points of area preserving diffeomorphisms.Amer. J. Math., 96 (1974), 409–421.
Meyer, K. R., Symmetries and Integrals in Mechanics.Dynamical Systems (ed. M. Peixoto). Academic Press, 259–272, 1973.
Nikishin, N., Fixed points of diffeomorphisms on the two sphere that preserve area.Funkcional Anal. i Prelozen, 8 (1974), 84–85.
Poincaré, H.,Méthodes nouvelles de la mécanique céleste, vol. 3. Gauthier-Villars, Paris, 1899, Chap. 28.
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.
Sternberg, S.,Lectures on Differential Geometry. Prentice-Hall, Englewood Cliffs, N.J., 1964.
Weinstein, A., Lagrangian submanifolds and hamiltonian systems.Ann. Math. (2), 98 (1973), 377–410.
—,Lectures on symplectic manifolds. Regional Conference Series in Mathematics, vol. 29., American Math. Soc., Providence, R.I., 1977.
Author information
Authors and Affiliations
Additional information
Partially supported by the NSF Grant MCS76-01986.
Rights and permissions
About this article
Cite this article
Moser, J. A fixed point theorem in symplectic geometry. Acta Math. 141, 17–34 (1978). https://doi.org/10.1007/BF02545741
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02545741