Zobrazeno 1 - 10
of 82
pro vyhledávání: '"30F40, 20H10"'
Autor:
Toledo-Acosta, Mauricio
In this paper, we give a complete description of the representations of all upper triangular complex Kleinian subgroups of PSL(3,C). In https://doi.org/10.1007/s00574-021-00254-9 we show that any solvable group is virtually triangularizable and can b
Externí odkaz:
http://arxiv.org/abs/1912.09828
Autor:
Hidalgo, Ruben A.
A virtual Schottky group is a Kleinian group $K$ containing a Schottky group $G$ as a finite index normal subgroup. These groups correspond to those groups of automorphisms of closed Riemann surfaces which can be realized at the level of their Schott
Externí odkaz:
http://arxiv.org/abs/1912.03533
Autor:
Cooper, Daryl, Futer, David
Publikováno v:
Geom. Topol. 23 (2019) 241-298
This paper proves that every finite volume hyperbolic 3-manifold M contains a ubiquitous collection of closed, immersed, quasi-Fuchsian surfaces. These surfaces are ubiquitous in the sense that their preimages in the universal cover separate any pair
Externí odkaz:
http://arxiv.org/abs/1705.02890
Autor:
Gilman, Jane, Keen, Linda
The discreteness problem, that is, the problem of determining whether or not a given finitely generated group G of orientation preserving isometries of hyperbolic three-space is discrete as a subgroup of the whole isometry group of hyperbolic three s
Externí odkaz:
http://arxiv.org/abs/1508.00257
Given a discrete subgroup $\Gamma$ of $PU(1,n)$ it acts by isometries on the unit complex ball $\Bbb{H}^n_{\Bbb{C}}$, in this setting a lot of work has been done in order to understand the action of the group. However when we look at the action of $\
Externí odkaz:
http://arxiv.org/abs/1506.08113
Autor:
Gilman, Jane
The problem of determining whether or not a non-elementary subgroup of $PSL(2,\CC)$ is discrete is a long standing one. The importance of two generator subgroups comes from J{\o}rgensen's inequality which has as a corollary the fact that a non-elemen
Externí odkaz:
http://arxiv.org/abs/1506.03633
Autor:
Anderson, James W
Publikováno v:
Computational Methods and Function Theory 14 (2014) 453-464
We continue here the investigation of the relationship between the intersection of a pair of subgroups of a Kleinian group, and in particular the limit set of that intersection, and the intersection of the limit sets of the subgroups. Of specific int
Externí odkaz:
http://arxiv.org/abs/1310.0208
We prove that a group has a DF domain if and only if has a Double Dirichlet domain. We give a good describtion of the side-paring transformation of such groups. In particular, those not fixing infinity have a common eigenvector. We also give other re
Externí odkaz:
http://arxiv.org/abs/1205.1129
Autor:
Baik, Hyungryul, Clavier, Lucien
Publikováno v:
Hiroshima Math. J. Volume 46, Number 1 (2016), 1-36
We describe the topology of the space of all geometric limits of closed abelian subgroups of PSL2C. Main tools and ideas come from the previous paper [BC12].
Comment: 41 pages, 14 figures
Comment: 41 pages, 14 figures
Externí odkaz:
http://arxiv.org/abs/1204.5269
Autor:
Baik, Hyungryul, Clavier, Lucien
Publikováno v:
Algebraic & Geometric Topology 13 (2013) 549-576
We give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated with elements of Aut(D) = PSL2(R), and finding quantities parametrizing
Externí odkaz:
http://arxiv.org/abs/1202.1365