arXiv Open Access 2023

Ancient mean curvature flows from minimal hypersurfaces

Yongheng Han

Lihat Sumber

Abstrak

For $n\geq 2$, we construct $I$-dimensional family of embedded ancient solutions to mean curvature flow arise from an unstable minimal hypersurface $Σ$ with finite total curvature in $\mathbb{R}^{n+1}$, where $I$ is the Morse index of the Jacobi operator on $Σ$.

Topik & Kata Kunci

math.DG

Penulis (1)

Yongheng Han

Format Sitasi

APA MLA BibTeX

Han, Y. (2023). Ancient mean curvature flows from minimal hypersurfaces. https://arxiv.org/abs/2311.15278

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓