PreprintCC BY 4.0arXiv
The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
Abstract
We prove that at any nondegenerate neck pinch singularity of Lagrangian mean curvature flow of surfaces the mean curvature becomes unbounded, with control on the blow-up rate.
Related
- Existence of Lagrangian Mean Curvature Flow Singularities with Bounded Mean Curvature
- Gradient estimates for the Lagrangian mean curvature equation with Lipschitz critical phase
- Hamiltonian stationary Lagrangian surfaces of constant Gaussian curvature in complex space forms
- Hamiltonian stationary Lagrangian surfaces in complex space forms with constant-length gradient of the mean curvature
- Singularities of Mean Curvature Flow with Bounded Total Curvature
BibTeX
@misc{lotay2026mean,
title = {{The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow}},
author = {Jason D. Lotay and Goncalo Oliveira},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31343},
eprint = {2609.31343},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31343},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
AU - Jason D. Lotay
AU - Goncalo Oliveira
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31343
UR - https://arxiv.org/abs/2609.31343
AB - We prove that at any nondegenerate neck pinch singularity of Lagrangian mean curvature flow of surfaces the mean curvature becomes unbounded, with control on the blow-up rate.
ER -