arXiv Open Access 2022

On the Existence and Uniqueness of Ancient Rescaled Mean Curvature Flows

Letian Chen

Lihat Sumber

Abstrak

We show existence of ancient solutions to the rescaled mean curvature flow starting from a given asymptotically conical self-expander. These are examples of mean curvature flows coming out of cones that are not self-similar. We also show a strong uniqueness theorem when the cone is generic and use it to classify mean curvature flows coming out of generic cones of small entropy in low dimensions.

Topik & Kata Kunci

math.DG math.AP

Penulis (1)

Letian Chen

Format Sitasi

APA MLA BibTeX

Chen, L. (2022). On the Existence and Uniqueness of Ancient Rescaled Mean Curvature Flows. https://arxiv.org/abs/2212.10798

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓