论文标题
对大家银行空间的极地动作
Polar actions on Damek-Ricci spaces
论文作者
论文摘要
如果存在一个封闭的连接子手机，则在riemannian歧管上进行适当的等距谎言组作用，称为极性。在本文中，我们研究了对Damek-Icci空间的极地行动。我们证明了在damek-ricci空间上的等轴测动作的标准，要找到示例，并在damek-ricci空间上提供了一些部分分类。特别是，我们表明在所有damek-ricci空间上都存在非平凡的极性动作。
A proper isometric Lie group action on a Riemannian manifold is called polar if there exists a closed connected submanifold which meets all orbits orthogonally. In this article we study polar actions on Damek-Ricci spaces. We prove criteria for isometric actions on Damek-Ricci spaces to be polar, find examples and give some partial classifications of polar actions on Damek-Ricci spaces. In particular, we show that non-trivial polar actions exist on all Damek-Ricci spaces.
