arXiv Open Access 2021

Uniqueness of convex ancient solutions to hypersurface flows

Stephen Lynch

Lihat Sumber

Abstrak

We show that every convex ancient solution of mean curvature flow with Type I curvature growth is either spherical, cylindrical, or planar. We then prove the corresponding statement for flows by a natural class of curvature functions which are convex or concave in the second fundamental form. Neither of these results assumes interior noncollapsing.

Topik & Kata Kunci

math.DG

Penulis (1)

Stephen Lynch

Format Sitasi

APA MLA BibTeX

Lynch, S. (2021). Uniqueness of convex ancient solutions to hypersurface flows. https://arxiv.org/abs/2103.02314

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓