Conjugate points on geodesics of Hofer's metric

Differential Geometry and its Application

Volumn 6, Issue 4, 1996, Pages 327-342

  Ustilovsky, Ilya ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Calculus of variations; Finslerian geometry; Hamiltonian diffeomorphisms; Hofer's metric; Symplectic geometry

Indexed keywords

EID: 0030493055     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(96)00027-7     Document Type: Article

References (9)

1. [1] V. Alekseev, V. Tikhomirov and S. Fomin, Optimal Control (Consultants Bureau, New York, 1987) (translation from Russian).
2. [2] M. Bialy and L. Polterovich, Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms, Duke Math. J. 76 (1994) 273-292.
3. [3] Yu. Burago and V. Zalgaller, Geometric Inequalities (Springer-Verlag, Berlin, 1988) (translation from Russian).
4. [4] H. Hofer, On the topological properties of symplectic maps, Proc. of the Royal Society of Edinburgh A 115 (1990) 25-38.
5. [5] H. Hofer, Estimates for the energy of a symplectic map, Comment. Math. Helv. 68 (1993) 48-72.
6. [6] H. Hofer and E. Zehnder, Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser, Basel, 1994).
7. [7] F. Lalonde and D. McDuff, The geometry of symplectic energy, Ann. Math. 141 (1995) 349-371.
8. ∞-geometry: energy and stability of Hamiltonian flows I and II, Invent. Math. 122 (1995) 1-33, 35-69.
9. [9] K. F. Siburg, New minimal geodesics in the group of symplectic diffeomorphisms, Calc. Var. Part. Diff. Eq. 3 (1995) 299-309.