Cao, Wensheng and Parker, John R. (2018) 'Shimizu's lemma for quaternionic hyperbolic space.', Computational methods and function theory., 18 (1). pp. 159-191.
Abstract
We give a generalisation of Shimizu’s lemma to complex or quaternionic hyperbolic space in any dimension for groups of isometries containing an arbitrary parabolic map. This completes a project begun by Kamiya (Hiroshima Math J 13:501–506, 1983). It generalises earlier work of Kamiya, Inkang Kim and Parker. The analogous result for real hyperbolic space is due to Waterman (Adv Math 101:87–113, 1993).
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Available under License - Creative Commons Attribution. Download PDF (359Kb) |
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (Advance online version) (639Kb) |
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (629Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/s40315-017-0212-4 |
| Publisher statement: | © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Date accepted: | 27 June 2017 |
| Date deposited: | 12 September 2017 |
| Date of first online publication: | 23 October 2017 |
| Date first made open access: | No date available |
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