Hamiltonian geometric connection associated with adiabatically perturbed Hamiltonian systems and the existence of adiabatic invariants

• Дата: 2008
• Автори: Prykarpatsky, Ya. A., Прикарпатський, Я. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2008
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3161
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Differential-geometric properties of the Hamiltonian connections on symplectic manifolds for the adiabatically perturbed Hamiltonian system are studied. Namely, the associated Hamiltonian connection on the main foliation is constructed and its description is given in terms of covariant derivatives...