2000 character limit reached
Singularity of mean curvature flow with bounded mean curvature and Morse index (2501.05489v2)
Published 9 Jan 2025 in math.DG
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 $\mathbb{R}{n+1}$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
