Reference : Quasicircles and width of Jordan curves in CP1
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/40258
Quasicircles and width of Jordan curves in CP1
English
bonsante, francesco [> >]
danciger, jeffrey [> >]
maloni, sara [> >]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
Apr-2021
Bulletin of the London Mathematical Society
Oxford University Press
53
2
507--523
Yes (verified by ORBilu)
International
0024-6093
1469-2120
Oxford
United Kingdom
[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.
Researchers
http://hdl.handle.net/10993/40258
also: http://hdl.handle.net/10993/47426
10.1112/blms.12438
https://doi.org/10.1112/blms.12438

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