[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.
Disciplines :
Mathématiques
Auteur, co-auteur :
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)
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Hyperideal polyhedra in the 3-dimensional anti-de Sitter space
Date de publication/diffusion :
2022
Titre du périodique :
Advances in Mathematics
ISSN :
0001-8708
eISSN :
1090-2082
Maison d'édition :
Elsevier, Atlanta, Etats-Unis - Californie
Volume/Tome :
404
Fascicule/Saison :
Paper No. 108441, 61 pp
Peer reviewed :
Peer reviewed vérifié par ORBi
Focus Area :
Computational Sciences
Projet FnR :
FNR11405402 - Analysis And Geometry Of Low-dimensional Manifolds, 2016 (01/09/2017-28/02/2021) - Jean-marc Schlenker
