Bibliographic Details
| Title: |
Ancient mean curvature flows with finite total curvature |
| Authors: |
Choi, Kyeongsu, Huang, Jiuzhou, Lee, Taehun |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Differential Geometry, Mathematics - Analysis of PDEs |
| More Details: |
We construct an $I$-family of ancient graphical mean curvature flows over a minimal hypersurface in $\mathbb{R}^{n+1}$ of finite total curvature with the Morse index $I$ by establishing exponentially fast convergence in terms of $|x|^2-t$. As a corollary, we show that these ancient flows have finite total curvature and finite mass drop. Moreover, one family of these flows is mean convex by a pointwise estimate.
Comment: All comments are welcome |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2405.01062 |
| Accession Number: |
edsarx.2405.01062 |
| Database: |
arXiv |
