On differentiable compactifications of the hyperbolic space

Details On differentiable compactifications of the hyperbolic space On differentiable compactifications of the hyperbolic space

2005-06-08

arxiv.org/abs/math/0506135v1

Transformation Groups 11, 2 (2006) 185-194

Mathematics

Metric Geometry

11 p

Scientific paper

The group of direct isometries of the real n-dimensional hyperbolic space is
G=SOo(n,1). This isometric action admits many differentiable compactifications
into an action on the closed ball. We prove that all such compactifications are
topologically conjugate but not necessarily differentiably conjugate. We give
the classifications of real analytic and smooth compactifications.

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