A Note on the Deformations of Hamiltonian Systems on Nilmanifolds

This note deals with the isospectral deformations of metrics on nilmanifolds from the view point of Hamiltonian dynamical systems. It is shown in some examples that the associated Hamiltonian system (the system of geodesic flow) is left invariant under such deformations without a nowhere dense subset of the phase space.

公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。