NL repository
menu
검색
Library
Browse
Communities & Collections
By Date
Authors
Titles
Subject
My Repository
My Account
Receive email updates
Edit Profile
DSpace at EWHA
연구기관
수리과학연구소
Journal papers
View : 406 Download: 0
Lightlike and ideal tetrahedra
Title
Lightlike and ideal tetrahedra
Authors
Meusburger C.
;
Scarinci C.
Ewha Authors
Carlos Scarinci
SCOPUS Author ID
Carlos Scarinci
Issue Date
2022
Journal Title
Geometriae Dedicata
ISSN
0046-5755
Citation
Geometriae Dedicata vol. 216, no. 3
Keywords
Constant curvature Lorentzian 3-manifolds
;
Generalized complex numbers
;
Ideal tetrahedra
;
Milnor–Lobachevsky function
Publisher
Springer Science and Business Media B.V.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We give a unified description of tetrahedra with lightlike faces in 3d anti-de Sitter, de Sitter and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-pipe spaces. We show that both types of tetrahedra are determined by a generalized cross-ratio with values in a commutative 2d real algebra that generalizes the complex numbers. Equivalently, tetrahedra with lightlike faces are determined by a pair of edge lengths and their duals by a pair of dihedral angles. We prove that the dual tetrahedra are precisely the generalized ideal tetrahedra introduced by Danciger. Finally, we compute the volumes of both types of tetrahedra as functions of their edge lengths or dihedral angles, obtaining generalizations of the Milnor–Lobachevsky volume formula of ideal hyperbolic tetrahedra. © 2022, The Author(s).
DOI
10.1007/s10711-022-00687-6
Appears in Collections:
연구기관
>
수리과학연구소
>
Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML
Show full item record
Find@EWHA
트윗하기
BROWSE
Communities & Collections
By Date
Authors
Titles
Subject