Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and Archive 

Hummel, C; Lang, U; Schroeder, V (2000). Convex hulls in singular spaces of negative curvature. Annals of Global Analysis and Geometry, 18(2):191-204.

Full text not available from this repository.

Abstract

The paper gives a simple example of a complete CAT(–1)-space containing a set S with the following property: the boundary at infinity ∂ ∞CH(S)of the convex hull of S differs from S by an isolated point. In contrast to this it is shown that if S is a union of finitely many convex subsets of a complete CAT(–1)-space X, then ∂ ∞CH(S) = ∂ ∞ S. Moreover, this identity holds without restrictions on S if CH is replaced by some notion of 'almost convex hull'.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:Alexandrov space; almost convex; convex hull; negative curvature
Language:English
Date:2000
Deposited On:29 Nov 2010 16:27
Last Modified:28 Nov 2013 02:03
Publisher:Springer
ISSN:0232-704X
Publisher DOI:10.1023/A:1006698910715
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1744590
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0993.53012
Citations:Web of Science®. Times Cited: 4
Google Scholar™
Scopus®. Citation Count: 3

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page