arXiv Open Access 2024

Ancient mean curvature flows with finite total curvature

Kyeongsu Choi Jiuzhou Huang Taehun Lee

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Abstrak

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.

Topik & Kata Kunci

math.DG math.AP

Penulis (3)

Kyeongsu Choi

Jiuzhou Huang

Taehun Lee

Format Sitasi

APA MLA BibTeX

Choi, K., Huang, J., Lee, T. (2024). Ancient mean curvature flows with finite total curvature. https://arxiv.org/abs/2405.01062

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓