PreprintCC BY 4.0arXiv
Uniqueness of tangent flows in free boundary flow
Abstract
We prove uniqueness of tangent flows for mean curvature flow with free boundary at singularities modeled on half-cylindrical self-shrinkers. More precisely, if a tangent flow is of the form πnβk Γ βk+ or $\mathbb{S}^{n-k}_+ \times \mathbb{R}^k $, then it is unique. This provides the free-boundary analogue of the uniqueness theory for cylindrical singularities.
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BibTeX
@misc{ghosh2026uniqueness,
title = {{Uniqueness of tangent flows in free boundary flow}},
author = {Sourav Ghosh},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03185},
eprint = {2609.03185},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03185},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniqueness of tangent flows in free boundary flow
AU - Sourav Ghosh
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03185
UR - https://arxiv.org/abs/2609.03185
AB - We prove uniqueness of tangent flows for mean curvature flow with free boundary at singularities modeled on half-cylindrical self-shrinkers. More precisely, if a tangent flow is of the form π^nβk Γ β^k_+ or $\mathbb{S}^{n-k}_+ \times \mathbb{R}^k $, then it is unique. This provides the free-boundary analogue of the uniqueness theory for cylindrical singularities.
ER -