Hyperideal polyhedra in the 3-dimensional anti-de Sitter space

Reference : Hyperideal polyhedra in the 3-dimensional anti-de Sitter space


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/39402

Title :	Hyperideal polyhedra in the 3-dimensional anti-de Sitter space
Language :	English
Author, co-author :	Chen, Qiyu [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Fudan university > mathematics]
	Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
Publication date :	2022
Journal title :	Advances in Mathematics
Publisher :	Elsevier
Volume :	404
Issue/season :	Paper No. 108441, 61 pp
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0001-8708
e-ISSN :	1090-2082
City :	Atlanta
Country :	CA
Abstract :	[en] We study hyperideal polyhedra in the 3-dimensional anti-de Sitter space AdS3, which are defined as the intersection of the projective model of AdS3 with a convex polyhedron in RP3 whose vertices are all outside of AdS3 and whose edges all meet AdS3. We show that hyperideal polyhedra in AdS3 are uniquely determined by their combinatorics and dihedral angles, as well as by the induced metric on their boundary together with an additional combinatorial data, and describe the possible dihedral angles and the possible induced metrics on the boundary.
Funders :	FNR
Permalink :	http://hdl.handle.net/10993/39402
FnR project :	FnR ; FNR11405402 > Jean-Marc Schlenker > AGoLoM > Analysis and Geometry of Low-dimensional Manifolds > 01/09/2017 > 31/08/2020 > 2016

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