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arXiv · 2209.12453

Limit sets of cyclic quaternionic Kleinian groups

Sandipan Dutta·Krishnendu Gongopadhyay·Tejbir Lohan
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Abstract

In this paper, we consider the natural action of $\mathrm{SL}(3, \mathbb{H})$ on the quaternionic projective space $ \mathbb{P}_{\mathbb{H}}^2$. Under this action, we investigate limit sets for cyclic subgroups of $\mathrm{SL}(3, \mathbb{H})$. We compute two types of limit sets, which were introduced by Kulkarni and Conze-Guivarc'h, respectively.

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Sandipan Dutta, Krishnendu Gongopadhyay, Tejbir Lohan. 2022-09-26. Limit sets of cyclic quaternionic Kleinian groups. https://doi.org/10.1007/s10711-023-00797-9

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