Abstract

Let HCn be the n-dimensional complex hyperbolic space and SU(n,1) be the (holomorphic) isometry group. An element g in SU(n,1) is called loxodromic or hyperbolic if it has exactly two fixed points on the boundary ∂HCn. We classify SU(n,1) conjugation orbits of pairs of loxodromic elements in SU(n,1).

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