Quasiconformal stability of Kleinian groups and an embedding of a space of flat conformal structures
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- by Hiroyasu Izeki
- Conform. Geom. Dyn. 4 (2000), 108-119
- DOI: https://doi.org/10.1090/S1088-4173-00-00062-X
- Published electronically: December 13, 2000
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Abstract:
We show the quasiconformal stability for torsion-free convex cocompact Kleinian groups acting on higher dimensional hyperbolic spaces. As an application, we prove an embedding theorem of a space of flat conformal structures on a certain class of compact manifolds.References
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Bibliographic Information
- Hiroyasu Izeki
- Affiliation: Mathematical Institute, Tohoku University, Sendai 980-8578, Japan
- Email: izeki@math.tohoku.ac.jp
- Received by editor(s): April 7, 2000
- Published electronically: December 13, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Conform. Geom. Dyn. 4 (2000), 108-119
- MSC (2000): Primary 58H15; Secondary 53A30
- DOI: https://doi.org/10.1090/S1088-4173-00-00062-X
- MathSciNet review: 1799652