Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
复制标题
DOI：
10.1016/j.top.2003.11.002
复制
发表时间：
2004-01
期刊：
影响因子：
--
通讯作者：
O. Baues
中科院分区：
文献类型：
--
作者：
O. Baues
给出了具有同构基本群的紧亚解流形是光滑亚纯的一个新证明。更一般地说，我们证明了刚性的流形上使用仿射作用的虚拟多环群可解李群。我们的结果是由可解线性代数群中子群的刚性性质得到的。
We give a new proof that compact infra-solvmanifolds with isomorphic fundamental groups are smoothly diffeomorphic. More generally, we prove rigidity results for manifolds which are constructed using affine actions of virtually polycyclic groups on solvable Lie groups. Our results are derived from rigidity properties of subgroups in solvable linear algebraic groups.