On the dynamics of discrete subgroups of PU(n, 1)

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Abstract

If G is a discrete subgroup of PU(n+1) ⊂ PSL(n+1,ℂ), then it acts on the complex projective space ℙnℂ preserving the unit ball (Formula presented). which can be equipped with the Bergman metric and provides a model for the complex hyperbolic space ℍnℂ, with PU(n, 1) as its group of holomorphic isometries.

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Cano, A., Navarrete, J. P., & Seade, J. (2013). On the dynamics of discrete subgroups of PU(n, 1). In Progress in Mathematics (Vol. 303, pp. 167–194). Springer Basel. https://doi.org/10.1007/978-3-0348-0481-3_8

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