# An Index Theorem for Non‐Periodic Solutions of Hamiltonian Systems

@article{Piccione1999AnIT,
title={An Index Theorem for Non‐Periodic Solutions of Hamiltonian Systems},
author={Paolo Piccione and Daniel V. Tausk},
journal={Proceedings of the London Mathematical Society},
year={1999},
volume={83}
}
• Published 8 November 1999
• Mathematics
• Proceedings of the London Mathematical Society
We consider a Hamiltonian setup M, ω, H, L, Γ, P, where M, ω is a symplectic manifold, L is a distribution of Lagrangian subspaces in M, P is a Lagrangian submanifold of M, H is a smooth time‐dependent Hamiltonian function on M, and Γ:[a,b] → M is an integral curve of the Hamiltonian flow H→ starting at P. We do not require any convexity property of the Hamiltonian function H. Under the assumption that Γ(b) is not P‐focal, we introduce the Maslov index imaslovΓ of Γ given in terms of the first…
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