On knotted self expanders of the mean curvature flow in $\R^3$

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.02829
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

On knotted self expanders of the mean curvature flow in $\R^3$

Alexander Mramor, Shengwen Wang
arXiv (Cornell University)
Geometric Analysis and Curvature Flows
preprint

On knotted self expanders of the mean curvature flow in $\R^3$

Alexander Mramor, Shengwen Wang
preprint en

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.

arXiv (Cornell University)
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
On knotted self expanders of the mean curvature flow in $\R^3$ — Alexander Mramor, Shengwen Wang · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS