Roman Prosanov

activity

20182026

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math.DG2026

On $(2, 1)$ -dimensional anti-de Sitter spacetimes with convex boundary

Roman Prosanov, Jean-Marc Schlenker, Graham Andrew Smith

Let $S$ be a closed oriented surface of genus at least $2$ . Let $X$ be a $(2, 1)$ -dimensional anti-de Sitter spacetime homeomorphic to $S \times [- 1, 1]$ with smooth, spacelike, strong…

math.DG2022

New invariants of Gromov-Hausdorff limits of Riemannian surfaces with curvature bounded below

Semyon Alesker, Mikhail Katz, Roman Prosanov

Let ${X_{i}}$ be a sequence of compact $n$ -dimensional Alexandrov spaces (e.g. Riemannian manifolds) with curvature uniformly bounded below which converges in the Gromov-Hausdorff…

On (2,1)-dimensional anti-de Sitter spacetimes with convex boundary

New invariants of Gromov-Hausdorff limits of Riemannian surfaces with curvature bounded below

On $(2, 1)$ -dimensional anti-de Sitter spacetimes with convex boundary