论文标题
有关线性泊松结构和Jacobi-Reeb动力学的机械哈密顿系统
Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics
论文作者
论文摘要
在本文中，我们介绍了Jacobi-Reeb动力学与与矢量束上线性泊松结构相关的与机械汉密尔顿系统相关的动力学之间的关系。为此，我们将使用由机械汉密尔顿系统引起的所谓雅各比捆绑指标。这些构造扩展了对Cotangent束和REEB动力学上标准的Hamilton Systems之间关系的经典结果。
In this paper, we present a relation between Jacobi-Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a vector bundle. For this purpose, we will use the so-called Jacobi bundle metrics induced by the mechanical Hamiltonian system. These constructions extend classical results on the relation between standard mechanical Hamiltonian systems on cotangent bundles and Reeb dynamics.
