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arXiv · 1908.10496

Local rigidity of weak or no hyperbolicity algebraic actions

Zhenqi Jenny Wang
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Abstract

In this paper we study rigidity properties of abelian \hyphenation{break-able}actions with weak or no hyperbolicty. We introduce a general strategy for proving $C^\infty$ local rigidity of algebraic actions. As a consequence, we show $C^\infty$ local rigidity for a broad class of parabolic algebraic actions on homogeneous spaces of semisimple Lie groups. This is the first time in the literature that (strong) local rigidity for these actions is addressed.

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Zhenqi Jenny Wang. 2019-08-27. Local rigidity of weak or no hyperbolicity algebraic actions. https://arxiv.org/abs/1908.10496

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