Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups
Geometric Topology
2007-05-23 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0401259,
title = {Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups},
author = {Oliver Baues},
journal= {arXiv preprint arXiv:math/0401259},
year = {2007}
}