论文标题
紧凑型谎言组的地球轨道空间二
Geodesic orbit spaces of compact Lie groups of rank two
论文作者
论文摘要
地球轨道空间是那些riemannian同质空间（g/h，g），其大地测量是G的单参数亚组的轨道。我们将简单连接的地质轨道空间分类为g是g是二级的lie lie群。我们证明，唯一从G上双重不变诱导度量G的唯一的空间是某些球体和投射空间，并具有由HOPF纤维化引起的指标。
Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank two. We prove that the only such spaces for which the metric g is not induced from a bi-invariant metric on G are certain spheres and projective spaces, endowed with metrics induced from Hopf fibrations.
