Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Ruth Kellerhals"'
Autor:
Ruth Kellerhals
Publikováno v:
Mathematics, Vol 5, Iss 3, p 43 (2017)
We study lattices with a non-compact fundamental domain of small volume in hyperbolic space H n . First, we identify the arithmetic lattices in Isom + H n of minimal covolume for even n up to 18. Then, we discuss the related problem in higher odd dim
Externí odkaz:
https://doaj.org/article/d1f270e190d941df82cebe8fe3d1ca64
Autor:
Simon Drewitz, Ruth Kellerhals
Publikováno v:
Transactions of the American Mathematical Society. 376:3819-3866
We show that the 1-cusped quotient of the hyperbolic space H 3 \mathbb {H}^3 by the tetrahedral Coxeter group Γ ∗ = [ 5 , 3 , 6 ] \Gamma _*=[5,3,6] has minimal volume among all non-arithmetic cusped hyperbolic 3-orbifolds, and as such it is unique
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2a28eb09119acc106eb80b0b22dcd61
https://doi.org/10.1090/tran/8803
https://doi.org/10.1090/tran/8803
Publikováno v:
Discrete & Computational Geometry. 69:873-895
For three distinct infinite families $$(R_m)$$ ( R m ) , $$(S_m)$$ ( S m ) , and $$(T_m)$$ ( T m ) of non-arithmetic 1-cusped hyperbolic Coxeter 3-orbifolds, we prove incommensurability for a pair of elements $$X_k$$ X k and $$Y_l$$ Y l belonging to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c72945588d8a17dc4888807b9546c70
https://doi.org/10.1007/s00454-022-00455-z
https://doi.org/10.1007/s00454-022-00455-z
Autor:
Marston Conder, Ruth Kellerhals
Publikováno v:
Bulletin of the London Mathematical Society. 54:1705-1720
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6a6ce8cbc046d272a926a6819c6bda4
https://doi.org/10.1112/blms.12651
https://doi.org/10.1112/blms.12651
Publikováno v:
Oberwolfach Reports. 16:1043-1070
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfb7016cb1ecf8eee618a9ec9b18b705
https://doi.org/10.4171/owr/2019/17
https://doi.org/10.4171/owr/2019/17
Autor:
Ruth Kellerhals
Publikováno v:
Canadian Journal of Mathematics. 73:465-492
Higher dimensional analogues of the modular group $\mathit{PSL}(2,\mathbb{Z})$ are closely related to hyperbolic reflection groups and Coxeter polyhedra with big symmetry groups. In this context, we develop a theory and dissection properties of ideal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57610094a9745135cf72e2b5461072e0
https://doi.org/10.4153/s0008414x20000036
https://doi.org/10.4153/s0008414x20000036
Publikováno v:
Geometriae Dedicata
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space $$\mathbb H^n$$ , new methods are presented to distinguish them up to (wide) commensurability. We exploit these ideas and determine the commensurability class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06c48c8922170192c5c2a952dc0901c6
https://doi.org/10.1007/s10711-016-0151-7
https://doi.org/10.1007/s10711-016-0151-7
Autor:
Ruth Kellerhals
Publikováno v:
Computational Methods and Function Theory Computational Methods and Function Theory
We provide a survey of hyperbolic orbifolds of minimal volume, starting with the results of Siegel in two dimensions and with the contributions of Gehring, Martin and others in three dimensions. For higher dimensions, we summarise some of the most im
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e71782160a98b917b78e5e2738c2c05
http://homeweb.unifr.ch/kellerha/pub/Ruth-Papers.html
http://homeweb.unifr.ch/kellerha/pub/Ruth-Papers.html
Autor:
Ruth Kellerhals
Publikováno v:
Discrete & Computational Geometry
By different scissors congruence techniques a number of dissection identities are presented between certain quasi-Coxeter polytopes, whose parameters are related to the golden section, and an ideal regular simplex in hyperbolic 5-space. As a conseque
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e13c2b3b7211d97a3a2ee821af59851f
http://www.springerlink.com/content/644151879925336u/
http://www.springerlink.com/content/644151879925336u/
The fcc lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter
Autor:
Thierry Hild, Ruth Kellerhals
Publikováno v:
Journal of the London Mathematical Society. 75:677-689
The 1-cusped hyperbolic coset space of H 4 by the Coxeter group [4, 3 2,1 ] of volume π 2 /1440 is the unique minimal volume orbifold among all non-compact complete hyperbolic 4-orbifolds. Our proof is geometric and based on horoball geometry combin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c098fe8f06cba0bba537231718a0b26
https://doi.org/10.1112/jlms/jdm015
https://doi.org/10.1112/jlms/jdm015