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Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image

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arxiv 2311.12400 v1 pith:RWVOPL27 submitted 2023-11-21 math.DG

Hongbing Qiu , Y.L. Xin This is my paper · ORCID
classification math.DG
keywords curvatureancientcodimensionestimatesflowgausshigherimage
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By carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under various Gauss image restriction.

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  1. A rigidity theorem of ancient solutions to the mean curvature flow in codimension one

    math.DG 2024-12 conditional novelty 4.0 of 10

    A complete ancient mean curvature flow solution whose Gauss map stays in an open hemisphere with sublinear angular growth must be a flat affine subspace.

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