Roman Prosanov

collaborators

3 papers

math.GT2025

Polyhedral surfaces in anti-de Sitter (2+1)-spacetimes

Roman Prosanov

We first prove that given a Fuchsian representation $ρ_\circ: π_1S \ra {\rm PSL}(2,\R)$, where $S$ is a closed oriented surface of genus $\geq 2$ , any hyperbolic cone-metric on $S$ …

math.GT2025

Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus

Roman Prosanov, Jean-Marc Schlenker

We prove that globally hyperbolic compact anti-de Sitter (2+1)-spacetimes with strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to…

math.GT2018

Ideal polyhedral surfaces in Fuchsian manifolds

Roman Prosanov

Let $S_{g, n}$ be a surface of genus $g > 1$ with $n > 0$ punctures equipped with a complete hyperbolic cusp metric. Then it can be uniquely realized as the boundary metric of an idea…