Maslov型指标和ω-指标的单调性

THE MONOTONICITY OF THE MASLOV TYPE INDICES AND THE ω INDICES

本文证明了Ｍａｓｌｏｖ型指标和ω－指标的单调性，并由此给出Ｍａｓｌｏｖ型平均指标不变性的另一证明．

In this paper we prove that the Maslov type index and the ω index are monotonic. With these properties, we prove that the Maslov type mean index is invariant about the choice of the Hamiltonian function for a given energy surface, it depends only on the energy surface and the closed characteristic on the energy surface.