3 papers
math.MG2025
Cocycle superrigidity for median spaces of finite rank
Biao Ma, Lamine Messaci
We systematically investigate cocycle superrigidity in the setting of finite rank median spaces for product groups and Kazhdan groups. By employing a dynamical approach to superrig…
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 maximal globally hyperbolic spatially compact space-time of non-negative constant curvature. We show that when the u…
math.GT2023
Isometric actions on locally compact finite rank median spaces
Mohamed Lamine Messaci
We prove that a connected locally compact median space of finite rank which admits a transitive action is isometric to endowed with the -metric. In the other…