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Bulletin of the American Mathematical Society

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A symplectic fixed point theorem for complex projective spaces


Authors: Barry Fortune and Alan Weinstein
Journal: Bull. Amer. Math. Soc. 12 (1985), 128-130
MSC (1980): Primary 58F05
DOI: https://doi.org/10.1090/S0273-0979-1985-15314-5
MathSciNet review: 766969
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  • 2. Henri Berestycki, Jean-Michel Lasry, Giovanni Mancini, and Bernhard Ruf, Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces, Comm. Pure Appl. Math. 38 (1985), no. 3, 253–289. MR 784474, https://doi.org/10.1002/cpa.3160380302
  • 3. G. D. Birkhoff, Proof of Poincaré's geometric theorem, Trans. Amer. Math. Soc. 14 (1913), 14-22.
  • 4. C. C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnol′d, Invent. Math. 73 (1983), no. 1, 33–49. MR 707347, https://doi.org/10.1007/BF01393824
  • 5. B. Fortune, A symplectic fixed-point theorem for CP, Ph.D. thesis, Univ. of Cal. at Berkeley, 1984.
  • 6. Jerrold Marsden and Alan Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Mathematical Phys. 5 (1974), no. 1, 121–130. MR 0402819
  • 7. H. Poincaré, Sur un théorème de géométrie, Rend. Circ. Mat. Palermo 33 (1912), 375-407.
  • 8. A. Weinstein, 𝐶⁰ perturbation theorems for symplectic fixed points and Lagrangian intersections, South Rhone seminar on geometry, III (Lyon, 1983) Travaux en Cours, Hermann, Paris, 1984, pp. 140–144. MR 753866

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Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1985-15314-5