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

Oliver Baues

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arXiv · math/0401259

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

Oliver Baues

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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.

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Oliver Baues. 2004-01-20. Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic Groups. https://arxiv.org/abs/math/0401259

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