https://neckpinch.com/authors/aron-szabo/New arXiv papers by Áron Szabó, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1903.03502/arxiv:1903.03502Fri, 08 Mar 2019 00:00:00 GMTKlaus Kroencke, Oliver Lindblad Petersen, Felix Lubbe, Tobias Marxen, Wolfgang Maurer, Wolfgang Meiser, Oliver C. Schnürer, Áron Szabó, Boris Vertman — We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M×ℝ, where M is asymptotically flat. If the initial hypersurface F₀⊂ M×ℝ is uniformly spacelike and asymptotic to M×s\ for some s∈ℝ at infinity, we show that a mean curvature flow starting at F₀ exists for all times and converges uniformly to M×s\ as t→ ∞.Mean curvature flowBoundaries & non-compactLong-time existence & convergencePhysics