论文标题
（CO）Symbletic和（CO）接触歧管的哈密顿系统的规范和规范转换
Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds
论文作者
论文摘要
在本文中，我们介绍了被视为哈密顿系统的全球几何对象的规范和规范变换。在符合性，固定性，接触和共同动作几何形状的数学形式主义下，分别定义了（CO）Symbletic，（CO）接触Hamiltonian Systems的规范变换。这些转换的局部特征是明确得出的，并且证明对于给定的规范变换存在与之相关的运动常数
In this paper we present canonical and canonoid transformations considered as global geometrical objects for Hamiltonian systems. Under the mathematical formalisms of symplectic, cosymplectic, contact and cocontact geometry, the canonoid transformations are defined for (co)symplectic, (co)contact Hamiltonian systems, respectively. The local characterizations of these transformations is derived explicitly and it is demonstrated that for a given canonoid transformation there exist constants of motion associated with it
