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- W2297366929 abstract "We present some explicit constructions of universal R-trees with applications to the asymptotic geometry of hyperbolic spaces. In particular, we show that any asymptotic cone of a complete simply connected manifold of negative curvature is a complete homogeneous R-tree with the valency $2^{aleph_0}$ at every point. It implies that all these asymptotic cones are isometric depending neither on a manifold nor on an ultrafilter. It is also proved that the same R-tree can be isometrically embedded at infinity into such a manifold or into a non-abelian free group." @default.
- W2297366929 created "2016-06-24" @default.
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- W2297366929 date "1999-04-23" @default.
- W2297366929 modified "2023-09-27" @default.
- W2297366929 title "Structures at infinity of hyperbolic spaces and universal R-trees" @default.
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