Abderrahim Mesbah

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20242026

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math.GT2025

The induced metric and bending lamination on the boundary of convex hyperbolic 3-manifolds

Abderrahim Mesbah

Let $S$ be an oriented closed surface of genus at least two, and let $M = S \times (0, 1)$ . Suppose that $h$ is a Riemannian metric on $S$ with curvature strictly greater than $- 1$ ,…

math.GT2024

Asymptotic behavior of Moncrief Lines in constant curvature space-times

Mehdi Belraouti, Abderrahim Mesbah, Mohamed Lamine Messaci

We study the asymptotic behavior of Moncrief lines on $2 + 1$ maximal globally hyperbolic spatially compact space-time $M$ of non-negative constant curvature. We show that when the u…