Warped products and conformal boundaries of CAT(0) spaces

Share and Export

Buckley, Stephen M. and Kokkendorff, Simon L. (2008) Warped products and conformal boundaries of CAT(0) spaces. The Journal of Geometric Analysis, 18. pp. 704-719. ISSN 1050-6926

PDF
SBwarp_prod.pdf
Download (230kB)

Abstract

We discuss the conformal boundary of a warped product of two length spaces and provide a method to calculate this in terms of the individual conformal boundaries. This technique is then applied to produce CAT(0)-spaces with complicated conformal boundaries. Finally we prove that the conformal boundary of an Hadamard n-manifold is always simply connected for n ¸ 3, thus providing a bound for the level of complication of the boundary of such a manifold.

Item Type:	Article
Keywords:	Length space; conformal boundary; ideal boundary; warped product; CAT(0)-space; fundamental group;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	1572
Depositing User:	Prof. Stephen Buckley
Date Deposited:	07 Oct 2009 13:54
Journal or Publication Title:	The Journal of Geometric Analysis
Publisher:	Springer New York
Refereed:	Yes
Related URLs:	Publisher
URI:	https://mu.eprints-hosting.org/id/eprint/1572
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

MURAL - Maynooth University Research Archive Library

Warped products and conformal boundaries of CAT(0) spaces

Abstract

Repository Staff Only (login required)

Downloads

Origin of downloads