$SO(2)$ symmetry of the translating solitons of the mean curvature flow in $\mathbb{R}^4$

Jingze Zhu

arxiv: 2012.09319 · v2 · pith:6RX7MNEInew · submitted 2020-12-16 · 🧮 math.DG

SO(2) symmetry of the translating solitons of the mean curvature flow in mathbb{R}⁴

Jingze Zhu This is my paper

classification 🧮 math.DG

keywords meancurvatureflowmathbbsolitonssymmetrytranslatingarise

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In this paper, we prove that the translating solitons of the mean curvature flow in $\mathbb{R}^4$ which arise as blow up limit of embedded, mean convex mean curvature flow must have $SO(2)$ symmetry.

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SO(2) symmetry of the translating solitons of the mean curvature flow in mathbb{R}⁴

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