Reference : Hyperideal polyhedra in the 3-dimensional anti-de Sitter space
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Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/39402
Hyperideal polyhedra in the 3-dimensional anti-de Sitter space
English
Chen, Qiyu [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Fudan university > mathematics]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
Apr-2019
1
30
No
[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.
FNR
http://hdl.handle.net/10993/39402
https://arxiv.org/abs/1904.09592
FnR ; FNR11405402 > Jean-Marc Schlenker > AGoLoM > Analysis and Geometry of Low-dimensional Manifolds > 01/09/2017 > 31/08/2020 > 2016

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