Morse theory for periodic solutions of hamiltonian systems and the maslov index

Communications on Pure and Applied Mathematics

Volumn 45, Issue 10, 1992, Pages 1303-1360

  Salamon, Dietmar ^a   Zehnder, Eduard ^b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84990617874     PISSN: 00103640     EISSN: 10970312     Source Type: Journal    
DOI: 10.1002/cpa.3160451004     Document Type: Article

References (44)

1. Sur une propriété topologique des applications globalement canoniques et à mécanique classique
2. A unique continuation theorem for solutions of elliptic parital differential equations or inequalities of the second order
3. New invariants of three and four dimensional manifolds
4. Spectral asymmetry and Riemannian geometry III
5. The Birkhoff‐Lewis fixed point theorem and a conjecture by V. I. Arnold
6. Morse‐type index theory for flows and periodic solutions of Hamiltonian equations
7. A global fixed point theorem for symplectic maps and subharmonic solutions of Hamiltonian equations on tori
8. On the Morse index in variational calculus
9. Morse theory for Lagrangian intersections
10. A relative Morse index for the symplectic action
11. The unregularized gradient flow of the symplectic action
12. An instanton invariant for 3‐manifolds
13. Witten's complex and infinite dimensional Morse theory
14. Symplectic fixed points and holomorphic spheres
15. The connection matrix theory for Morse decompositions
16. 2 and periodic solutions of annulus diffeomorphisms
17. On the structure of regions of stability of linear canonical systems of differential equations with periodic coefficients
18. Pseudoholomorphic curves in symplectic manifolds
19. Ljusternik‐Schnirelman theory for Lagrangian intersections
20. Morse theory for forced oscillations of asymptotically linear Hamiltonian systems
21. Elliptic methods in symplectic geometry
22. Morse decompositions and connection matrices.
23. On the volume elements of a manifold
24. Proof of a generalized form of a fixed point theorem due to G. D. Birkhoff
25. The existence of minimal immersions of 2‐spheres
26. Morse theory, the Conley index and Floer homology
27. Floer homology, the Maslov index and periodic orbits of Hamiltonian equations
28. The generalized Poincaré conjecture in higher dimensions
29. An infinite dimensional version of Sard's theorem
30. Intersections de sous‐variétés Lagrangiennes, fonctionelles d'action et indice des systèmes Hamiltoniens
31. A new obstruction to embedding Lagrangien tori
32. Supersymmetry and Morse theory
33. Gromov's compactness of pseudoholomorphic curves and symplectic geometry