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arXiv · 1904.12140

Local rigidity of certain actions of solvable groups on the boundaries of rank one symmetric spaces

Mao Okada
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Abstract

Let $G$ be the group of orientation-preserving isometries of a rank-one symmetric space $X$ of non-compact type. We study local rigidity of certain actions of a solvable subgroup $\Gamma \subset G$ on the boundary of $X$, which is diffeomorphic to a sphere. When $X$ is a quaternionic hyperbolic space or the Cayley hyperplane, the action we constructed is locally rigid.

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Mao Okada. 2019-04-27. Local rigidity of certain actions of solvable groups on the boundaries of rank one symmetric spaces. https://arxiv.org/abs/1904.12140

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