arXiv Open Access 2021

Approximation of mean curvature flow with generic singularities by smooth flows with surgery

Joshua Daniels-Holgate

Lihat Sumber

Abstrak

We construct smooth mean curvature flows with surgery that approximate weak mean curvature flows with only spherical and neck-pinch singularities. This is achieved by combining the recent work of Choi-Haslhofer-Hershkovits, and Choi-Haslhofer-Hershkovits-White, establishing canonical neighbourhoods of such singularities, with suitable barriers to flows with surgery. A limiting argument is then used to control these approximating flows. We conclude by improving the entropy bound on the low-entropy Schoenflies conjecture.

Topik & Kata Kunci

math.DG math.AP

Penulis (1)

Joshua Daniels-Holgate

Format Sitasi

APA MLA BibTeX

Daniels-Holgate, J. (2021). Approximation of mean curvature flow with generic singularities by smooth flows with surgery. https://arxiv.org/abs/2104.11647

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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