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Entire $σ_k$ curvature flow in Minkowski space

Published 10 Jul 2022 in math.DG | (2207.04552v1)

Abstract: In this paper, we study the $\sigma_k$ curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, then the flow exists for all time. Moreover, we show that after rescaling, the flow converges to a self-expander.

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