The limit set of discrete subgroups of PSL(3, ℂ)

DOI10.1017/S0305004110000423zbMath1214.30032arXiv1002.0021OpenAlexW2132249712MaRDI QIDQ3068831

Waldemar Barrera, Juan Pablo Navarrete, Angel Cano

Publication date: 17 January 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0021

zbMATH Keywords

limit setdiscontinuity setdiscrete subgroups of \(PSL(3, \mathbb C)\)equicontinuity region

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (9)

Subgroups of 𝑃𝑆𝐿(3,ℂ) with four lines in general position in its limit set ⋮ Duality of the Kulkarni limit set for subgroups of \(\mathrm {PSL}(3,\mathbb {C})\) ⋮ Three-dimensional Sol manifolds and complex Kleinian groups ⋮ Limit sets of cyclic quaternionic Kleinian groups ⋮ Two-dimensional Veronese groups with an invariant ball ⋮ On discrete groups of automorphisms of \({\mathbb P^2_\mathbb C}\) ⋮ Pappus' theorem and a construction of complex Kleinian groups with rich dynamics ⋮ A family of complex Kleinian split solvable groups ⋮ The dynamics of solvable subgroups of \(\text{PSL}(3,\mathbb{C})\)

Cites Work

• On the limit set of discrete subgroups of \(\text{PU}(2,1)\)
• Groups with domains of discontinuity
• Higher dimensional complex Kleinian groups
• Discrete subgroups of \(\text{PU}(2, 1)\) acting on \(P_{\mathbb C}^2\) and the Kobayashi metric
• THE TRACE FUNCTION AND COMPLEX KLEINIAN GROUPS IN $P_{\mathbb{C}}^{2}$

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