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ON FORD ISOMETRIC SPHERES IN COMPLEX HYPERBOLIC SPACE
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UNSPECIFIED (1994) ON FORD ISOMETRIC SPHERES IN COMPLEX HYPERBOLIC SPACE. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 115 (Part 3). pp. 501-512. ISSN 0305-0041
Full text not available from this repository.Abstract
The complex hyperbolic version of Shimizu's lemma gives an upper bound on the radii of isometric spheres of maps in a discrete subgroup of PU(n, 1) containing a vertical Heisenberg translation. The purpose of this paper is to show that in a neighbourhood of this bound radii of isometric spheres only take values in a particular discrete set. When the group contains certain ellipto-parabolic maps this upper bound can be improved and the set of values of the radii is more restricted. Examples are given that show that these results cannot be improved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY |
| Publisher: | CAMBRIDGE UNIV PRESS |
| ISSN: | 0305-0041 |
| Date: | May 1994 |
| Volume: | 115 |
| Number: | Part 3 |
| Number of Pages: | 12 |
| Page Range: | pp. 501-512 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20549 |
Data sourced from Thomson Reuters' Web of Knowledge
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