论文标题
对称空间在平坦的空间上滚动
Symmetric spaces rolling on flat spaces
论文作者
论文摘要
当前论文的目的本质上是双重的。首先，要清楚地说出两个将Riemannian歧管滚动的概念在另一个概念上使用，使用一种对更广泛的受众访问的语言，尤其是对应用程序感兴趣的读者。其次，我们专注于滚动一类重要的里曼尼亚歧管。在本文的第一部分中，详细解释了固有和外在卷之间的关系，而在第二部分中，我们解决了对称空间在扁平空间上的滚动，并通过说明性示例补充了理论结果。
The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language accessible to a wider audience, in particular to readers with interest in applications. Secondly, we concentrate on rolling an important class of Riemannian manifolds. In the first part of the paper, the relation between intrinsic and extrinsic rollings is explained in detail, while in the second part we address rollings of symmetric spaces on flat spaces and complement the theoretical results with illustrative examples.
