Article (Scientific journals)
Quasicircles and width of Jordan curves in CP1
bonsante, francesco; danciger, jeffrey; maloni, sara et al.
2021In Bulletin of the London Mathematical Society, 53 (2), p. 507--523
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Abstract :
[en] We study a notion of "width" for Jordan curves in CP1, paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geometry of its convex hull in hyperbolic three-space. A similar invariant in the setting of anti de Sitter geometry was used by Bonsante-Schlenker to characterize quasicircles amongst a larger class of Jordan curves in the boundary of anti de Sitter space. By contrast to the AdS setting, we show that there are Jordan curves of bounded width which fail to be quasicircles. However, we show that Jordan curves with small width are quasicircles.
Disciplines :
Mathematics
Author, co-author :
bonsante, francesco
danciger, jeffrey
maloni, sara
Schlenker, Jean-Marc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)
External co-authors :
yes
Language :
English
Title :
Quasicircles and width of Jordan curves in CP1
Publication date :
April 2021
Journal title :
Bulletin of the London Mathematical Society
ISSN :
1469-2120
Publisher :
Oxford University Press, Oxford, United Kingdom
Volume :
53
Issue :
2
Pages :
507--523
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 07 September 2019

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