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

By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one under an optimal growth condition.

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Publication Details

Journal
International Journal of Mathematics
Published
2026-06-19
DOI
https://doi.org/10.1142/s0129167x26500576
Primary Topic
Mathematics and Applications
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

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

Hongbing Qiu, Qun Chen
International Journal of Mathematics
Mathematics and Applications
preprint

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

Hongbing Qiu, Qun Chen
preprint en

Abstract

By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one under an optimal growth condition.

International Journal of Mathematics
Twitter (United States) (US)
National Natural Science Foundation of China, Natural Science Foundation of Hubei Province
Openalex Percentile: Top 96%
Mathematics and Applications
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A rigidity theorem of ancient solutions to the mean curvature flow in codimension one — Hongbing Qiu, Qun Chen · International Journal of Mathematics (2026) | TGRS Research Map | TGRS