Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups

Huani Qin, Yueping Jiang and Wensheng Cao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We obtain an analogue of Jørgensen′s inequality in quaternionic hyperbolic space. As an application, we prove that if the r‐generator quaternionic Kleinian group satisfies I‐condition, then its algebraic limit is also a quaternionic Kleinian group. Our results are generalizations of the counterparts in the n‐dimensional real hyperbolic space.

Date: 2014
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https://doi.org/10.1155/2014/684594

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:684594

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