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arXiv · 2108.09791

Comparison of Limit Sets for the Action of Kleinian Groups in $\mathbb{C}P^n$

Alejandro Ucan-Puc·Jose Seade
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Abstract

We compare different notions of limit sets for the action of Kleinian groups on the $n-$dimensional projective space via the irreducible representation $\varrho:PSL(2,\mathbb{C})\to PSL(n+1,\mathbb{C}).$ In particular, we prove that if the Kleinian group is convex-cocompact, the Myrberg and the Kulkarni limit coincide.

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Alejandro Ucan-Puc, Jose Seade. 2021-08-22. Comparison of Limit Sets for the Action of Kleinian Groups in $\mathbb{C}P^n$. https://arxiv.org/abs/2108.09791

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