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Singularity of mean curvature flow with bounded mean curvature and Morse index
Published 9 Jan 2025 in math.DG | (2501.05489v2)
Abstract: We study the multiplicity of the singularity of mean curvature flow with bounded mean curvature and Morse index. For $3\leq n\leq 6$, we show that either the mean curvature or the Morse index blows up at the first singular time for a closed smooth embedded mean curvature flow in $\mathbb{R}{n+1}$.
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