论文标题
喷雾和狄拉克结构
Sprays and Dirac Structures
论文作者
论文摘要
我们查看具有将狄拉克结构视为潜在几何结构的哈密顿描述的喷雾的可能性。在更简单的情况下，我们将几乎狄拉克的结构视为一种辅助对象，以找到喷雾的运动常数。我们使用与喷雾相关的水平分布凝视，我们使用由两种形式产生的量规变换，以获得运动常数和可能的汉密尔顿描述。我们还通过一些修改将方法应用于半喷涂。
We look at the the possibility of a spray having a Hamiltonian description considering Dirac structure as underlying geometric structure. In a simpler scenario, we consider almost Dirac structure as an auxiliary object to find constants of motion for sprays. Staring with the horizontal distribution associated to a spray, we use gauge transformations generated by two forms in order to obtain constants of motion and possible Hamiltonian description. We also apply our approach to semi-spray with some modifications.
