PROPER ACTIONS ON SOME EXPONENTIAL SOLVABLE HOMOGENEOUS SPACES
PROPER ACTIONS ON SOME EXPONENTIAL SOLVABLE HOMOGENEOUS SPACES
复制标题
一些指数可解齐次空间的适当动作
DOI：
10.1142/s0129167x0500317x
复制
发表时间：
2005
影响因子：
0.6
通讯作者：
F. Khlif
中科院分区：
文献类型：
--
作者：
A. Baklouti;F. Khlif
设G是连通的单连通的幂零李群，H和K是G的连通子群，本文证明了K对X = G/H的作用当且仅当三组（G，H，K）在G最多为三步和G是特殊的两种情况下都具有紧交性质，推广了之前的情况。对于存在极大子群的指数齐次空间，也证明了这一结果。
Let G be a connected, simply connected nilpotent Lie group, H and K be connected subgroups of G. We show in this paper that the action of K on X = G/H is proper if and only if the triple (G,H,K) has the compact intersection property in both cases where G is at most three-step and where G is special, extending then earlier cases. The result is also proved for exponential homogeneous space on which acts a maximal subgroup.