Graphical translators for mean curvature flow | SpringerLink Skip to main content Advertisement
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We prove that any complete immersed two-sided mean convex translating soliton
$\Sigma\subset {\Bbb R}^ 3$ for the mean curvature flow is convex. As a corollary it follows …

We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a
conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not …

We survey some ideas regarding the application of the Aleksandrov reflection method in
partial differential equation to extrinsic geometric flows of Euclidean hypersurfaces. In this …

Notes on Translating Solitons for Mean Curvature Flow | SpringerLink Skip to main content
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Convex ancient solutions to curve shortening flow | SpringerLink Skip to main content
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Ancient mean curvature flows out of polytopes Page 1 GGG G G G G GGGG G G G GGG
TTT T T T TTTTTT T T T T T Geometry & Topology msp Volume 26 (2022) Ancient mean …

In this paper, we classify all noncollapsed singularity models for the mean curvature flow of 3-
dimensional hypersurfaces in R4 or more generally in 4-manifolds. Specifically, we prove …

SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$ |
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While it is well known from examples that no interesting “halfspace theorem” holds for
properly immersed-dimensional self-translating mean curvature flow solitons in Euclidean …