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, 1-5

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:684594

DOI: 10.1155/2014/684594

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