PreprintarXiv licencearXiv
On knotted self expanders of the mean curvature flow in R3
Abstract
In this article we produce many examples of knotted self expanders. For example, there is an expander isotopic to a trefoil knot with three half cylinders attached.
Related
- The rigidity theorems for complete self-expander of mean curvature flow
- The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
- Singularities of Mean Curvature Flow with Bounded Total Curvature
- Existence of Lagrangian Mean Curvature Flow Singularities with Bounded Mean Curvature
- Generic Mean Curvature Flow With Rough Weights
BibTeX
@misc{mramor2026knotted,
title = {{On knotted self expanders of the mean curvature flow in $\R^3$}},
author = {Alexander Mramor and Shengwen Wang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02829},
eprint = {2611.02829},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02829},
}
RIS
TY - UNPB
TI - On knotted self expanders of the mean curvature flow in R^3
AU - Alexander Mramor
AU - Shengwen Wang
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.02829
UR - https://arxiv.org/abs/2611.02829
AB - In this article we produce many examples of knotted self expanders. For example, there is an expander isotopic to a trefoil knot with three half cylinders attached.
ER -