Local rigidity of certain solvable group actions on tori

Qiao Liu

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arXiv · 1910.13541

Local rigidity of certain solvable group actions on tori

Qiao Liu

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Abstract

In this paper, we study a local rigidity property of $\mathbb Z \ltimes_\lambda \mathbb R$ affine action on tori generated by an irreducible toral automorphism and a linear flow along an eigenspace. Such an action exhibits a weak version of local rigidity, i.e., any smooth perturbations close enough to an affine action is smoothly conjugate to the affine action up to proportional time change.

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BibTeX RIS

Qiao Liu. 2019-10-29. Local rigidity of certain solvable group actions on tori. https://arxiv.org/abs/1910.13541

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