Geometry of Jacobi curves. II. (English) Zbl 1045.53051
The paper under review is the second part of the work on geometry of curves in the Lagrangian Grassmannian. The first part was published in [A. A. Agrachev and I. Zelenko, J. Dyn. Control Syst. 8, No. 1, 93–140 (2002; Zbl 1019.53038)]. This second part studies an important class of flat curves and gives estimates for the conjugate points. The estimates are presented in the form of comparison theorems.
Reviewer: Mircea Puta (Timişoara)
MSC:
| 53D05 | Symplectic manifolds (general theory) |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
| 70G45 | Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics |
