We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of …
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and …
HC Botós, FA Franco - arXiv preprint arXiv:2411.02213, 2024 - arxiv.org
In $\mathrm {PU}(2, 1) $, the group of holomorphic isometries of the complex hyperbolic plane, we study the space of involutions $ R_1, R_2, R_3, R_4, R_5 $ satisfying …
The non-trivial complete totally geodesic submanifolds of the complex hyperbolic plane $\mathbb H_ {\mathbb C}^ 2$ are the complex geodesics and the real planes. We present …
We study surface groups Γ in SO (4, 1), which is the group of conformal automorphisms of S 3, and also the group of isometries of H 4. We consider such Γ so that its limit set Λ Γ is a …
E Jespers, A Kiefer, A Del Rio - Expositiones Mathematicae, 2015 - Elsevier
We give a new self-contained proof of Poincaré's Polyhedron Theorem on presentations of discontinuous groups of isometries of a Riemann manifold of constant curvature. The proof …
Estruturas Hiperbólicas em Variedades Page 1 PROJETO DE PESQUISA PROJETOS DE PESQUISA - NOVOS Estruturas Hiperbólicas em Variedades NPP2015010003330 Sidnei …