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Syplectic topology and Hamiltonian dynamics II

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References

  1. Benci, V.: On the critical point theory for indefinite functionals in the presence of symmetries. Trans. Am. Math. Soc.274, 533–572 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  2. Benci, V., Rabinowitz, P.H.: Critical point theory for indefinite functionals. Invent. Math.52, 336–353 (1979)

    Article  MathSciNet  Google Scholar 

  3. Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics I. Math. Z.200, 355–378 see also: C.R. Acad Sci., Paris, Ser. I,307, 37–40 (1988)

    Article  MathSciNet  Google Scholar 

  4. Ekeland, I., Hofer, H.: Convex Hamiltonian energy surfaces and their periodic trajectories. Commun. Math. Phys.113, 419–469 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  5. Fadell, E., Rabinowitz, P.H.: Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems. Invent. Math.45, 139–173 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  6. Fadell, E., Husseini, S., Rabinowitz, P.: Borsuk Ulam Theorems for arbitraryS 1-actions and applications. Trans. Am. Math. Soc.274, 345–360 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  7. Floer, A., Hofer, H.: in preparation

  8. Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds. Invent. Math.82, 307–347 (1985)

    Article  MATH  Google Scholar 

  9. Hofer, H.: On strongly indefinite functionals and application. Trans. Am. Math. Soc.275, 185–214 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  10. Hofer, H., Zehnder, E.: Periodic solutions on hypersurfaces and a result by C. Viterbo, Invent. Math.90, 1–7 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  11. Hofer, H., Zehnder, E.: A new capacity for symplectic manifolds. Proceedings of a Conference on the occasion of J. Moser’s 60th Birthday. (to appear)

  12. Viterbo, C.: A proof of the Weinstein Conjecture in ℝ2n. Ann. Inst. Henri Poincaré, Anal. Non Linéaire,4, 337–356 (1987)

    MATH  MathSciNet  Google Scholar 

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Supported by U.S. Army contract DAJA 45-88-C-0009

Supported by the Alfred P. Sloan Foundation and NSF grant DMS 88-03496

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Ekeland, I., Hofer, H. Syplectic topology and Hamiltonian dynamics II. Math Z 203, 553–567 (1990). https://doi.org/10.1007/BF02570756

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