The aim of this paper is to study dynamics of a discrete isometry group action in a pinched Hadamard manifold nearby its parabolic fixed points. Due to Margulis Lemma, such an action on corresponding horospheres is virtually nilpotent, so we solve the problem by establishing a structural theorem for
On the rigidity of discrete isometry groups of negatively curved spaces
โ Scribed by S. Hersonsky; F. Paulin
- Publisher
- European Mathematical Society
- Year
- 1997
- Tongue
- English
- Weight
- 624 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0010-2571
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๐ SIMILAR VOLUMES
Let H be a properly discontinuous group of isometries of a negatively curved (Gromov hyperbolic) metric space X. We give equivalent conditions on H to be quasi-convex. The main application of this is to give alternate definitions of quasi-convex, or rational subgroups of negatively curved (word hype
We show that the automorphism group of a locally finite tree is discrete, or pro-finite, or not the inverse limit of an inverse system of discrete groups, and provide necessary and sufficient conditions for each of these possibilities to occur. More generally, we demonstrate that for certain proper