Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
By O. Baues. 2004
59 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/76a4a9907e4ccc6d008572cf07ea2b6cd2619099
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Affine actions on Lie groups and post-Lie algebra structures (2011, background): “On the other hand, it was shown [2, 12] that for any such G there exists a nilpotent Lie group N and an embedding ρ : G →֒ Aff(N), letting G act simply transitively on N .”