On the asymptotic geometry of area-preserving maps

Mathematical Research Letters

Volumn 7, Issue 2-3, 2000, Pages 233-243

  Polterovich, Leonid ^a   Siburg, Karl Friedrich ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034350166     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2000.v7.n2.a8     Document Type: Article

References (15)

1. [AL] M. Audin and J. Lafontaine (eds.): Holomorphic curves in symplectic geometry, Progress in Mathematics, 117, Birkhäuser Verlag, Basel, 1994
2. [BP] M. Bialy and L. Polterovich, Invariant tori and symplectic topology, Amer. Math. Soc. Transl. Ser. 2, 171, Amer. Math. Soc., Providence, RI, 1996, pp. 23-33.
3. [DM] B. Dacorogna and J. Moser, On a partial differential equation involving the Jacobian determinant, Ann. Inst. Henri Poincarè, Anal. Non Linéaire 7 (1990), 1-26.
4. [EE] C.J. Earle and J. Eells A fibre bundle description of Teichmüller theory, J. Diff. Geom. 3 (1969), 19-43.
5. [Fl] A. Floer, Cuplength estimates on Lagrangian intersections, Comm. Pure Appl. Math. 42 (1989), 335-356.
6. [Gr] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. math. 82 (1985), 307-347.
7. [HZ] H. Hofer and E. Zehnder, Symplectic invariants and hamiltonian dynamics, Birkhäuser, Basel, 1994.
8. [LM] F. Lalonde and D. McDuff, Hofer's L∞-geometry: energy and stability of Hamiltonian flows I & II, Invent, math. 122 (1995), 1-33 & 35-69.
9. [MS] D. McDuff and D. Salamon, Introduction to symplectic topology, Oxford University Press, New York, 1995.
10. [Mo] J. Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965), 286-294.
11. [Pol] L. Polterovich, Hofer's diameter and Lagrangian intersections, Int. Math. Res. Notices 4 (1998), 217-223.
12. [Po2] -, Geometry on the group of Hamiltonian diffeomorphisms, Doc. Math. J. DMV, Extra Volume ICM 1998, Vol. II, 401-410.
13. [Po3] -, Geometry of the group of symplectic diffeomorphisms, Lectures in Mathematics ETH Zürich, Birkhäuser, to appear.
14. [Si] J.-C. Sikorav, Systèmes hamiltoniens et topologie symplectique, Universitá di Pisa, 1990.
15. [Sp] E. Spanier, Algebraic topology, McGraw-Hill, New York-Toronto, 1966.