https://neckpinch.com/authors/juncheol-pyo/New arXiv papers by Juncheol Pyo, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2210.03707/arxiv:2210.03707Fri, 07 Oct 2022 00:00:00 GMTJohn Man Shun Ma, Yuan Shyong Ooi, Juncheol Pyo — In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any entire graphical translating surface in the translating direction not parallel to the graphical one is flat if either the translating surface is mean convex or the entropy of the translating surface is smaller than 2. For higher dimensional case, we show that the same conclusion holds if the graphical translating hypersurface satisfies certain growth condition.Mean curvature flowSelf-shrinkers & translatorsStability & uniqueness