Lagrangian embeddings and critical point theory

 Access to full text

 Full (PDF)

1. [1] R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
2. [2] V.I. Arnold, Sur une propriété topologique des applications canoniques de la mécanique classique. C. R. Acad. Sc. Paris, t. 261, 1965, p. 3719-3722. Zbl0134.42305MR193645
3. [3] V. Benci and P. Rabinowitz, Critical point theorems for indefinite functionals. Inv. Math., t. 52, 1979, p. 241-273. Zbl0465.49006MR537061
4. [4] V. Benci, On critical point theory for indefinite functionals in the presence of symmetries. Trans. A. M. S., t. 274, 1982, p. 533-572. Zbl0504.58014MR675067
5. [5] M. Chaperon, Quelques questions de géométrie symplectique d'après, entre autres, Poincaré, Arnold, Conley and Zehnder, Séminaire Bourbaki 1982/1983, Asté- risque105-106, 1983, p. 231-249. Zbl0525.53049MR728991
6. [6] M. Chaperon and E. Zehnder, Quelques résultats globaux en géométrie symplectique (to appear). MR753864
7. [7] C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold. Inv. Math., t. 73, 1983, p. 33-49. Zbl0516.58017MR707347
8. [8] A. Dold, The fixed point transfer of fibre-preserving maps. Math. Z., t. 148, 1976, p. 215-244. Zbl0329.55007MR433440
9. [9] H. Elliason, Geometry of manifolds of maps. J. Diff. Geom., t. 1, 1967, p. 165-194. Zbl0163.43901MR226681
10. [10] E. Fadell and P. Rabinowitz, Generalised cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems. Inv. Math., t. 45, 1978, p. 139-174. Zbl0403.57001MR478189
11. [11] A. Floer, Proof of the Arnold conjecture for surfaces and generalisations for certain Kähler manifolds (to appear). Zbl0607.58016MR835793
12. [12] B. Fortune and A. Weinstein, A symplectic fixed point theorem for complex projective spaces (to appear). Zbl0566.58013MR766969
13. [13] A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston, New York, 1969. Zbl0224.35002MR445088
14. [14] H. Hofer, A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface. Boll. U. M. I., t. 16, 1-B, 1982, p. 931-942. Zbl0541.70032MR683483
15. [15] H. Hofer, On strongly indefinite functionals with applications. Trans. A. M. S., t. 275, 1, 1983, p. 185-214. Zbl0524.58010MR678344
16. [16] W. Klingenberg, Lectures on closed geodesics. Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin, Heidelberg, New York, t. 230, 1978. Zbl0397.58018MR478069
17. [17] W. Klingenberg, Riemannian Geometry, de Gruyter Studies in Mathematics1, Walter de Gruyter, Berlin, New York, 1982. Zbl0495.53036MR666697
18. [18] A. Weinstein, Lagrangian submanifolds and Hamiltonian systems. Ann. Math., t. 98, 1973, p. 377-410. Zbl0271.58008MR331428
19. [19] A. Weinstein, C0-perturbation theorems for symplectic fixed points and Lagrangian intersections (to appear). Zbl0598.58013
20. [20] P.H. Rabinowitz, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., t. 31, 1978, p. 157-184. Zbl0358.70014MR467823
21. [21] I. Ekeland, Une théorie de Morse pour les systèmes hamiltoniens convex. Ann. IHP. Analyse non linéaire, t. 1, 1984, p. 19-78. Zbl0537.58018MR738494
22. [22] D.C. Clark, A variant of Luisternik-Schnirelman theory, Indiana University Math. J., 22 No., t. 1, 1972, p. 65-74. Zbl0228.58006MR296777

1. Marc Chaperon, Phases génératrices en géométrie symplectique
2. François Laudenbach, Homotopie régulière inactive et engouffrement symplectique
3. H. Hofer, Lusternik-Schnirelman-theory for lagrangian intersections
4. H. Hofer, C. Viterbo, The Weinstein conjecture in cotangent bundles and related results