论文标题
嵌套主要捆绑包上的伊曼尼亚人测量学
Sub-Riemannian geodesics on nested principal bundles
论文作者
论文摘要
我们研究了通过谎言群对它们的作用相关的两个非霍洛诺\ - 敏化系统上的大地测量学之间的相互作用。经过一些几何预赛后，我们使用汉密尔顿形式主义来编写大地测量学的参数形式。我们提出了几个几何示例，包括在gromoll-meyer exotic Sphere和Twistor空间上的非全面结构。
We study the interplay between geodesics on two non-holono\-mic systems that are related by the action of a Lie group on them. After some geometric preliminaries, we use the Hamiltonian formalism to write the parametric form of geodesics. We present several geometric examples, including a non-holonomic structure on the Gromoll-Meyer exotic sphere and twistor space.
