3 papers
math.GT2024
A non-trivial family of trivial bundles with complex hyperbolic structure
Hugo C. Botós, Felipe A. Franco
In , the group of holomorphic isometries of the complex hyperbolic plane, we study the space of involutions satisfying $R_5R_4R_3R_2R_1=…
math.DG2024
Complete totally geodesic subsets of the complex hyperbolic plane: an elementary classification
Hugo C. Botós, Carlos H. Grossi
The non-trivial complete totally geodesic submanifolds of the complex hyperbolic plane are the complex geodesics and the real planes. We present two new p…
math.GT2023
On the interplay between discrete invariants of complex hyperbolic disc bundles over surfaces
Hugo C. Botós
We investigate the relationship between three natural invariants of complex hyperbolic disc orbibundles over oriented and closed hyperbolic -orbifolds. These invariants are the…