3 papers
math.GT2025
Adapted Renormalized Volume for Hyperbolic 3-Manifolds with Compressible Boundary
Viola Giovannini
The renormalized volume is a smooth function associating to every convex co-compact hyperbolic -manifold a real number. When the boundary of is incompressible, the renor…
math.DG2025
Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker
We provide conditions under which a Riemann surface is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalize…
math.DG2025
Behaviour of the Schwarzian derivative on long complex projective tubes
Tommaso Cremaschi, Viola Giovannini
The Schwarzian derivative parametrizes the fibres of the space of complex projective structures on a surface as vector bundle over its Teichmüller space. We study its behaviour on…