arXiv Open Access 2024

Translating Solitons to a Lagrangian mean curvature flow with zero Maslov class

Xiaoli Han Jiayu Li Jun Sun

Lihat Sumber

Abstrak

It is known that there is no a Type I singularity for the Lagrangian mean curvature flow with zero Maslov class. In this paper, we study translating solitons which are important models of Type II singularities. A necessary condition for a blow-up limit arising at a Type II singularity of a Lagrangian mean curvature flow with zero Maslov class is provided. As an application, we try to understand the important open question proposed by Joyce-Lee-Tsui and Neves-Tian, whether the Lagrangian translating solitons constructed by Joyce-Lee-Tsui can be a blow-up limit for a Lagrangian mean curvature flow with zero Maslov class.

Topik & Kata Kunci

math.DG

Penulis (3)

Xiaoli Han

Jiayu Li

Jun Sun

Format Sitasi

APA MLA BibTeX

Han, X., Li, J., Sun, J. (2024). Translating Solitons to a Lagrangian mean curvature flow with zero Maslov class. https://arxiv.org/abs/2410.17850

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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