Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups

Details Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups

2004-01-20

arxiv.org/abs/math/0401259v1

Topology, 43 (2004), 903--924.

Mathematics

Geometric Topology

Scientific paper

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.

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