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A symplectic fixed point theorem for complex projective spaces
Author(s):
Barry
Fortune;
Alan
Weinstein
Journal:
Bull. Amer. Math. Soc.
12
(1985),
128-130.
MSC (1980):
Primary 58F05
MathSciNet review:
766969
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References |
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Additional information
References:
- 1.
- V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, New York, 1978. MR 690288
- 2.
- H. Berestycki, J.-M. Lasry, G. Mancini and B. Ruf, Existence of multiple periodic orbits on star-shaped hamiltonian surfaces, preprint, 1983. MR 784474
- 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. Arnold, Invent. Math. 73 (1983), 33-49. MR 707347
- 5.
- B. Fortune, A symplectic fixed-point theorem for CP, Ph.D. thesis, Univ. of Cal. at Berkeley, 1984.
- 6.
- J. Marsden and A. Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Math. Phys. 5 (1974), 121-130. MR 402819
- 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, Séminaire sud-rhodanien de géométrie III, Travaùx en Cours, Hermann, (1984). (Another version will appear in the proceedings of the 1983 AMS Summer Institute on Nonlinear Functional Analysis and Applications, Proc. Sympos. Pure Math., Amer. Math. Soc., Providence, R.I.)[Note] MR 753866
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15314-5
PII:
S 0273-0979(1985)15314-5
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